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Finding the Fourth Proportional to 6,580.16, 9,079.20 and 3,785.92

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Solution

The fourth proportional to 6,580.16, 9,079.20 and 3,785.92 is: 5,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.16 : 9,079.20 = 3,785.92 : x
  2. Step 2: Convert to fraction form
    6,580.16/9,079.20 = 3,785.92/x
  3. Step 3: Cross multiply
    6,580.16x = 9,079.20 × 3,785.92
  4. Step 4: Simplify right side
    6,580.16x = 34,373,124.86
  5. Step 5: Solve for x
    x = 34,373,124.86/6,580.16
  6. Step 6: Final answer
    x = 5,223.75

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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.