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Finding the Fourth Proportional to 4,471.56, 6,174.54 and 3,148.20

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Solution

The fourth proportional to 4,471.56, 6,174.54 and 3,148.20 is: 4,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.56 : 6,174.54 = 3,148.20 : x
  2. Step 2: Convert to fraction form
    4,471.56/6,174.54 = 3,148.20/x
  3. Step 3: Cross multiply
    4,471.56x = 6,174.54 × 3,148.20
  4. Step 4: Simplify right side
    4,471.56x = 19,438,686.83
  5. Step 5: Solve for x
    x = 19,438,686.83/4,471.56
  6. Step 6: Final answer
    x = 4,347.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.