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Finding the Fourth Proportional to 3,570.56, 5,354.24 and 1,377.60

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Solution

The fourth proportional to 3,570.56, 5,354.24 and 1,377.60 is: 2,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.56 : 5,354.24 = 1,377.60 : x
  2. Step 2: Convert to fraction form
    3,570.56/5,354.24 = 1,377.60/x
  3. Step 3: Cross multiply
    3,570.56x = 5,354.24 × 1,377.60
  4. Step 4: Simplify right side
    3,570.56x = 7,376,001.02
  5. Step 5: Solve for x
    x = 7,376,001.02/3,570.56
  6. Step 6: Final answer
    x = 2,065.78

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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.