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Finding the Fourth Proportional to 5,825.32, 8,737.90 and 1,665.31

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Solution

The fourth proportional to 5,825.32, 8,737.90 and 1,665.31 is: 2,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.32 : 8,737.90 = 1,665.31 : x
  2. Step 2: Convert to fraction form
    5,825.32/8,737.90 = 1,665.31/x
  3. Step 3: Cross multiply
    5,825.32x = 8,737.90 × 1,665.31
  4. Step 4: Simplify right side
    5,825.32x = 14,551,307.31
  5. Step 5: Solve for x
    x = 14,551,307.31/5,825.32
  6. Step 6: Final answer
    x = 2,497.94

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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.