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Finding the Fourth Proportional to 6,502.32, 8,974.44 and 3,708

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Solution

The fourth proportional to 6,502.32, 8,974.44 and 3,708 is: 5,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.32 : 8,974.44 = 3,708 : x
  2. Step 2: Convert to fraction form
    6,502.32/8,974.44 = 3,708/x
  3. Step 3: Cross multiply
    6,502.32x = 8,974.44 × 3,708
  4. Step 4: Simplify right side
    6,502.32x = 33,277,223.52
  5. Step 5: Solve for x
    x = 33,277,223.52/6,502.32
  6. Step 6: Final answer
    x = 5,117.75

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