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Finding the Fourth Proportional to 5,825.65, 8,737.24 and 1,664.55

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Solution

The fourth proportional to 5,825.65, 8,737.24 and 1,664.55 is: 2,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.65 : 8,737.24 = 1,664.55 : x
  2. Step 2: Convert to fraction form
    5,825.65/8,737.24 = 1,664.55/x
  3. Step 3: Cross multiply
    5,825.65x = 8,737.24 × 1,664.55
  4. Step 4: Simplify right side
    5,825.65x = 14,543,564.52
  5. Step 5: Solve for x
    x = 14,543,564.52/5,825.65
  6. Step 6: Final answer
    x = 2,496.47

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Why These Related Problems?

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