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Finding the Fourth Proportional to 3,658.59, 5,488.76 and 1,193.35

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Solution

The fourth proportional to 3,658.59, 5,488.76 and 1,193.35 is: 1,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.59 : 5,488.76 = 1,193.35 : x
  2. Step 2: Convert to fraction form
    3,658.59/5,488.76 = 1,193.35/x
  3. Step 3: Cross multiply
    3,658.59x = 5,488.76 × 1,193.35
  4. Step 4: Simplify right side
    3,658.59x = 6,550,005.78
  5. Step 5: Solve for x
    x = 6,550,005.78/3,658.59
  6. Step 6: Final answer
    x = 1,790.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.