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Finding the Fourth Proportional to 5,429.62, 7,488.61 and 3,438.24

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Solution

The fourth proportional to 5,429.62, 7,488.61 and 3,438.24 is: 4,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.62 : 7,488.61 = 3,438.24 : x
  2. Step 2: Convert to fraction form
    5,429.62/7,488.61 = 3,438.24/x
  3. Step 3: Cross multiply
    5,429.62x = 7,488.61 × 3,438.24
  4. Step 4: Simplify right side
    5,429.62x = 25,747,638.45
  5. Step 5: Solve for x
    x = 25,747,638.45/5,429.62
  6. Step 6: Final answer
    x = 4,742.07

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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.