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Finding the Fourth Proportional to 4,471.56, 6,677.01 and 4,165.38

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Solution

The fourth proportional to 4,471.56, 6,677.01 and 4,165.38 is: 6,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.56 : 6,677.01 = 4,165.38 : x
  2. Step 2: Convert to fraction form
    4,471.56/6,677.01 = 4,165.38/x
  3. Step 3: Cross multiply
    4,471.56x = 6,677.01 × 4,165.38
  4. Step 4: Simplify right side
    4,471.56x = 27,812,283.91
  5. Step 5: Solve for x
    x = 27,812,283.91/4,471.56
  6. Step 6: Final answer
    x = 6,219.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.