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Finding the Fourth Proportional to 5,490.47, 8,237.02 and 1,792.71

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Solution

The fourth proportional to 5,490.47, 8,237.02 and 1,792.71 is: 2,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.47 : 8,237.02 = 1,792.71 : x
  2. Step 2: Convert to fraction form
    5,490.47/8,237.02 = 1,792.71/x
  3. Step 3: Cross multiply
    5,490.47x = 8,237.02 × 1,792.71
  4. Step 4: Simplify right side
    5,490.47x = 14,766,588.12
  5. Step 5: Solve for x
    x = 14,766,588.12/5,490.47
  6. Step 6: Final answer
    x = 2,689.49

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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.