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Finding the Fourth Proportional to 4,659.28, 6,440.08 and 4,095.52

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Solution

The fourth proportional to 4,659.28, 6,440.08 and 4,095.52 is: 5,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.28 : 6,440.08 = 4,095.52 : x
  2. Step 2: Convert to fraction form
    4,659.28/6,440.08 = 4,095.52/x
  3. Step 3: Cross multiply
    4,659.28x = 6,440.08 × 4,095.52
  4. Step 4: Simplify right side
    4,659.28x = 26,375,476.44
  5. Step 5: Solve for x
    x = 26,375,476.44/4,659.28
  6. Step 6: Final answer
    x = 5,660.85

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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.