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Finding the Fourth Proportional to 3,572.20, 5,357.69 and 974.53

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Solution

The fourth proportional to 3,572.20, 5,357.69 and 974.53 is: 1,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.20 : 5,357.69 = 974.53 : x
  2. Step 2: Convert to fraction form
    3,572.20/5,357.69 = 974.53/x
  3. Step 3: Cross multiply
    3,572.20x = 5,357.69 × 974.53
  4. Step 4: Simplify right side
    3,572.20x = 5,221,240.60
  5. Step 5: Solve for x
    x = 5,221,240.60/3,572.20
  6. Step 6: Final answer
    x = 1,461.63

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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.