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Finding the Fourth Proportional to 4,585.92, 6,865.46 and 4,148.18

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Solution

The fourth proportional to 4,585.92, 6,865.46 and 4,148.18 is: 6,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.92 : 6,865.46 = 4,148.18 : x
  2. Step 2: Convert to fraction form
    4,585.92/6,865.46 = 4,148.18/x
  3. Step 3: Cross multiply
    4,585.92x = 6,865.46 × 4,148.18
  4. Step 4: Simplify right side
    4,585.92x = 28,479,163.86
  5. Step 5: Solve for x
    x = 28,479,163.86/4,585.92
  6. Step 6: Final answer
    x = 6,210.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.