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Finding the Fourth Proportional to 4,471.24, 6,710.10 and 1,874.20

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Solution

The fourth proportional to 4,471.24, 6,710.10 and 1,874.20 is: 2,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.24 : 6,710.10 = 1,874.20 : x
  2. Step 2: Convert to fraction form
    4,471.24/6,710.10 = 1,874.20/x
  3. Step 3: Cross multiply
    4,471.24x = 6,710.10 × 1,874.20
  4. Step 4: Simplify right side
    4,471.24x = 12,576,069.42
  5. Step 5: Solve for x
    x = 12,576,069.42/4,471.24
  6. Step 6: Final answer
    x = 2,812.66

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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.