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Finding the Fourth Proportional to 6,585.28, 9,079.84 and 4,223.68

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Solution

The fourth proportional to 6,585.28, 9,079.84 and 4,223.68 is: 5,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.28 : 9,079.84 = 4,223.68 : x
  2. Step 2: Convert to fraction form
    6,585.28/9,079.84 = 4,223.68/x
  3. Step 3: Cross multiply
    6,585.28x = 9,079.84 × 4,223.68
  4. Step 4: Simplify right side
    6,585.28x = 38,350,338.61
  5. Step 5: Solve for x
    x = 38,350,338.61/6,585.28
  6. Step 6: Final answer
    x = 5,823.65

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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.