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Finding the Fourth Proportional to 4,720.32, 7,071.84 and 3,474

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Solution

The fourth proportional to 4,720.32, 7,071.84 and 3,474 is: 5,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.32 : 7,071.84 = 3,474 : x
  2. Step 2: Convert to fraction form
    4,720.32/7,071.84 = 3,474/x
  3. Step 3: Cross multiply
    4,720.32x = 7,071.84 × 3,474
  4. Step 4: Simplify right side
    4,720.32x = 24,567,572.16
  5. Step 5: Solve for x
    x = 24,567,572.16/4,720.32
  6. Step 6: Final answer
    x = 5,204.64

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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.