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Finding the Fourth Proportional to 3,506.73, 5,260.63 and 1,658.85

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Solution

The fourth proportional to 3,506.73, 5,260.63 and 1,658.85 is: 2,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.73 : 5,260.63 = 1,658.85 : x
  2. Step 2: Convert to fraction form
    3,506.73/5,260.63 = 1,658.85/x
  3. Step 3: Cross multiply
    3,506.73x = 5,260.63 × 1,658.85
  4. Step 4: Simplify right side
    3,506.73x = 8,726,596.08
  5. Step 5: Solve for x
    x = 8,726,596.08/3,506.73
  6. Step 6: Final answer
    x = 2,488.53

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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.