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Finding the Fourth Proportional to 4,456.56, 6,672.96 and 3,534

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Solution

The fourth proportional to 4,456.56, 6,672.96 and 3,534 is: 5,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.56 : 6,672.96 = 3,534 : x
  2. Step 2: Convert to fraction form
    4,456.56/6,672.96 = 3,534/x
  3. Step 3: Cross multiply
    4,456.56x = 6,672.96 × 3,534
  4. Step 4: Simplify right side
    4,456.56x = 23,582,240.64
  5. Step 5: Solve for x
    x = 23,582,240.64/4,456.56
  6. Step 6: Final answer
    x = 5,291.58

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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.