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Finding the Fourth Proportional to 5,125.64, 7,689.12 and 2,005.25

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Solution

The fourth proportional to 5,125.64, 7,689.12 and 2,005.25 is: 3,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.64 : 7,689.12 = 2,005.25 : x
  2. Step 2: Convert to fraction form
    5,125.64/7,689.12 = 2,005.25/x
  3. Step 3: Cross multiply
    5,125.64x = 7,689.12 × 2,005.25
  4. Step 4: Simplify right side
    5,125.64x = 15,418,601.17
  5. Step 5: Solve for x
    x = 15,418,601.17/5,125.64
  6. Step 6: Final answer
    x = 3,008.13

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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.