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Finding the Fourth Proportional to 5,488.62, 7,559.10 and 4,742.34

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Solution

The fourth proportional to 5,488.62, 7,559.10 and 4,742.34 is: 6,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.62 : 7,559.10 = 4,742.34 : x
  2. Step 2: Convert to fraction form
    5,488.62/7,559.10 = 4,742.34/x
  3. Step 3: Cross multiply
    5,488.62x = 7,559.10 × 4,742.34
  4. Step 4: Simplify right side
    5,488.62x = 35,847,822.29
  5. Step 5: Solve for x
    x = 35,847,822.29/5,488.62
  6. Step 6: Final answer
    x = 6,531.30

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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.