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Finding the Fourth Proportional to 3,874,100.03, 5,811,150.02 and 1,412,300.51

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Solution

The fourth proportional to 3,874,100.03, 5,811,150.02 and 1,412,300.51 is: 2,118,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874,100.03 : 5,811,150.02 = 1,412,300.51 : x
  2. Step 2: Convert to fraction form
    3,874,100.03/5,811,150.02 = 1,412,300.51/x
  3. Step 3: Cross multiply
    3,874,100.03x = 5,811,150.02 × 1,412,300.51
  4. Step 4: Simplify right side
    3,874,100.03x = 8,207,090,122,404.64
  5. Step 5: Solve for x
    x = 8,207,090,122,404.64/3,874,100.03
  6. Step 6: Final answer
    x = 2,118,450.75

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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.