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Finding the Fourth Proportional to 5,318.64, 7,957.98 and 3,762.47

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Solution

The fourth proportional to 5,318.64, 7,957.98 and 3,762.47 is: 5,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.64 : 7,957.98 = 3,762.47 : x
  2. Step 2: Convert to fraction form
    5,318.64/7,957.98 = 3,762.47/x
  3. Step 3: Cross multiply
    5,318.64x = 7,957.98 × 3,762.47
  4. Step 4: Simplify right side
    5,318.64x = 29,941,680.91
  5. Step 5: Solve for x
    x = 29,941,680.91/5,318.64
  6. Step 6: Final answer
    x = 5,629.57

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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.