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Finding the Fourth Proportional to 5,465.92, 7,542.80 and 3,228.02

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Solution

The fourth proportional to 5,465.92, 7,542.80 and 3,228.02 is: 4,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.92 : 7,542.80 = 3,228.02 : x
  2. Step 2: Convert to fraction form
    5,465.92/7,542.80 = 3,228.02/x
  3. Step 3: Cross multiply
    5,465.92x = 7,542.80 × 3,228.02
  4. Step 4: Simplify right side
    5,465.92x = 24,348,309.26
  5. Step 5: Solve for x
    x = 24,348,309.26/5,465.92
  6. Step 6: Final answer
    x = 4,454.57

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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.