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Finding the Fourth Proportional to 4,234.64, 6,344.28 and 4,142.48

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Solution

The fourth proportional to 4,234.64, 6,344.28 and 4,142.48 is: 6,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.64 : 6,344.28 = 4,142.48 : x
  2. Step 2: Convert to fraction form
    4,234.64/6,344.28 = 4,142.48/x
  3. Step 3: Cross multiply
    4,234.64x = 6,344.28 × 4,142.48
  4. Step 4: Simplify right side
    4,234.64x = 26,281,053.01
  5. Step 5: Solve for x
    x = 26,281,053.01/4,234.64
  6. Step 6: Final answer
    x = 6,206.21

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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.