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Finding the Fourth Proportional to 4,478.31, 6,684.59 and 4,148.44

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Solution

The fourth proportional to 4,478.31, 6,684.59 and 4,148.44 is: 6,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.31 : 6,684.59 = 4,148.44 : x
  2. Step 2: Convert to fraction form
    4,478.31/6,684.59 = 4,148.44/x
  3. Step 3: Cross multiply
    4,478.31x = 6,684.59 × 4,148.44
  4. Step 4: Simplify right side
    4,478.31x = 27,730,614.20
  5. Step 5: Solve for x
    x = 27,730,614.20/4,478.31
  6. Step 6: Final answer
    x = 6,192.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.