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Finding the Fourth Proportional to 5,702.17, 8,545.10 and 2,574.41

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Solution

The fourth proportional to 5,702.17, 8,545.10 and 2,574.41 is: 3,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.17 : 8,545.10 = 2,574.41 : x
  2. Step 2: Convert to fraction form
    5,702.17/8,545.10 = 2,574.41/x
  3. Step 3: Cross multiply
    5,702.17x = 8,545.10 × 2,574.41
  4. Step 4: Simplify right side
    5,702.17x = 21,998,548.17
  5. Step 5: Solve for x
    x = 21,998,548.17/5,702.17
  6. Step 6: Final answer
    x = 3,857.93

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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.