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Finding the Fourth Proportional to 5,488.82, 7,558.61 and 4,770.69

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Solution

The fourth proportional to 5,488.82, 7,558.61 and 4,770.69 is: 6,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.82 : 7,558.61 = 4,770.69 : x
  2. Step 2: Convert to fraction form
    5,488.82/7,558.61 = 4,770.69/x
  3. Step 3: Cross multiply
    5,488.82x = 7,558.61 × 4,770.69
  4. Step 4: Simplify right side
    5,488.82x = 36,059,785.14
  5. Step 5: Solve for x
    x = 36,059,785.14/5,488.82
  6. Step 6: Final answer
    x = 6,569.68

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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.