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Finding the Fourth Proportional to 6,072.52, 9,108.90 and 1,689.92

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Solution

The fourth proportional to 6,072.52, 9,108.90 and 1,689.92 is: 2,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.52 : 9,108.90 = 1,689.92 : x
  2. Step 2: Convert to fraction form
    6,072.52/9,108.90 = 1,689.92/x
  3. Step 3: Cross multiply
    6,072.52x = 9,108.90 × 1,689.92
  4. Step 4: Simplify right side
    6,072.52x = 15,393,312.29
  5. Step 5: Solve for x
    x = 15,393,312.29/6,072.52
  6. Step 6: Final answer
    x = 2,534.91

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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.