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Finding the Fourth Proportional to 3,376.73, 4,658.64 and 2,117.83

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Solution

The fourth proportional to 3,376.73, 4,658.64 and 2,117.83 is: 2,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.73 : 4,658.64 = 2,117.83 : x
  2. Step 2: Convert to fraction form
    3,376.73/4,658.64 = 2,117.83/x
  3. Step 3: Cross multiply
    3,376.73x = 4,658.64 × 2,117.83
  4. Step 4: Simplify right side
    3,376.73x = 9,866,207.55
  5. Step 5: Solve for x
    x = 9,866,207.55/3,376.73
  6. Step 6: Final answer
    x = 2,921.82

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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.