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Finding the Fourth Proportional to 5,426.64, 7,488.64 and 3,069.52

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Solution

The fourth proportional to 5,426.64, 7,488.64 and 3,069.52 is: 4,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.64 : 7,488.64 = 3,069.52 : x
  2. Step 2: Convert to fraction form
    5,426.64/7,488.64 = 3,069.52/x
  3. Step 3: Cross multiply
    5,426.64x = 7,488.64 × 3,069.52
  4. Step 4: Simplify right side
    5,426.64x = 22,986,530.25
  5. Step 5: Solve for x
    x = 22,986,530.25/5,426.64
  6. Step 6: Final answer
    x = 4,235.87

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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.