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Finding the Fourth Proportional to 5,045.97, 7,569.09 and 1,714.17

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Solution

The fourth proportional to 5,045.97, 7,569.09 and 1,714.17 is: 2,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.97 : 7,569.09 = 1,714.17 : x
  2. Step 2: Convert to fraction form
    5,045.97/7,569.09 = 1,714.17/x
  3. Step 3: Cross multiply
    5,045.97x = 7,569.09 × 1,714.17
  4. Step 4: Simplify right side
    5,045.97x = 12,974,707.01
  5. Step 5: Solve for x
    x = 12,974,707.01/5,045.97
  6. Step 6: Final answer
    x = 2,571.30

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