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Finding the Fourth Proportional to 5,092.50, 7,639.76 and 1,807.89

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Solution

The fourth proportional to 5,092.50, 7,639.76 and 1,807.89 is: 2,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.50 : 7,639.76 = 1,807.89 : x
  2. Step 2: Convert to fraction form
    5,092.50/7,639.76 = 1,807.89/x
  3. Step 3: Cross multiply
    5,092.50x = 7,639.76 × 1,807.89
  4. Step 4: Simplify right side
    5,092.50x = 13,811,845.71
  5. Step 5: Solve for x
    x = 13,811,845.71/5,092.50
  6. Step 6: Final answer
    x = 2,712.19

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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.