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Finding the Fourth Proportional to 6,652.53, 9,978.93 and 3,728.52

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Solution

The fourth proportional to 6,652.53, 9,978.93 and 3,728.52 is: 5,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.53 : 9,978.93 = 3,728.52 : x
  2. Step 2: Convert to fraction form
    6,652.53/9,978.93 = 3,728.52/x
  3. Step 3: Cross multiply
    6,652.53x = 9,978.93 × 3,728.52
  4. Step 4: Simplify right side
    6,652.53x = 37,206,640.08
  5. Step 5: Solve for x
    x = 37,206,640.08/6,652.53
  6. Step 6: Final answer
    x = 5,592.86

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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.