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Finding the Fourth Proportional to 4,720.72, 7,071.54 and 2,959.96

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Solution

The fourth proportional to 4,720.72, 7,071.54 and 2,959.96 is: 4,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.72 : 7,071.54 = 2,959.96 : x
  2. Step 2: Convert to fraction form
    4,720.72/7,071.54 = 2,959.96/x
  3. Step 3: Cross multiply
    4,720.72x = 7,071.54 × 2,959.96
  4. Step 4: Simplify right side
    4,720.72x = 20,931,475.54
  5. Step 5: Solve for x
    x = 20,931,475.54/4,720.72
  6. Step 6: Final answer
    x = 4,433.96

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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.