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Finding the Fourth Proportional to 4,943.09, 7,406.10 and 2,599.61

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Solution

The fourth proportional to 4,943.09, 7,406.10 and 2,599.61 is: 3,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.09 : 7,406.10 = 2,599.61 : x
  2. Step 2: Convert to fraction form
    4,943.09/7,406.10 = 2,599.61/x
  3. Step 3: Cross multiply
    4,943.09x = 7,406.10 × 2,599.61
  4. Step 4: Simplify right side
    4,943.09x = 19,252,971.62
  5. Step 5: Solve for x
    x = 19,252,971.62/4,943.09
  6. Step 6: Final answer
    x = 3,894.93

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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.