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Finding the Fourth Proportional to 5,100,394.05, 7,647,039.99 and 2,258,965.89

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Solution

The fourth proportional to 5,100,394.05, 7,647,039.99 and 2,258,965.89 is: 3,386,876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100,394.05 : 7,647,039.99 = 2,258,965.89 : x
  2. Step 2: Convert to fraction form
    5,100,394.05/7,647,039.99 = 2,258,965.89/x
  3. Step 3: Cross multiply
    5,100,394.05x = 7,647,039.99 × 2,258,965.89
  4. Step 4: Simplify right side
    5,100,394.05x = 17,274,402,496,875.94
  5. Step 5: Solve for x
    x = 17,274,402,496,875.94/5,100,394.05
  6. Step 6: Final answer
    x = 3,386,876.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.