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Finding the Fourth Proportional to 4,714.24, 7,069.92 and 2,247.76

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Solution

The fourth proportional to 4,714.24, 7,069.92 and 2,247.76 is: 3,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.24 : 7,069.92 = 2,247.76 : x
  2. Step 2: Convert to fraction form
    4,714.24/7,069.92 = 2,247.76/x
  3. Step 3: Cross multiply
    4,714.24x = 7,069.92 × 2,247.76
  4. Step 4: Simplify right side
    4,714.24x = 15,891,483.38
  5. Step 5: Solve for x
    x = 15,891,483.38/4,714.24
  6. Step 6: Final answer
    x = 3,370.95

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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.