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Finding the Fourth Proportional to 6,752.87, 9,318.88 and 3,728.00

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Solution

The fourth proportional to 6,752.87, 9,318.88 and 3,728.00 is: 5,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.87 : 9,318.88 = 3,728.00 : x
  2. Step 2: Convert to fraction form
    6,752.87/9,318.88 = 3,728.00/x
  3. Step 3: Cross multiply
    6,752.87x = 9,318.88 × 3,728.00
  4. Step 4: Simplify right side
    6,752.87x = 34,740,812.60
  5. Step 5: Solve for x
    x = 34,740,812.60/6,752.87
  6. Step 6: Final answer
    x = 5,144.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.