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Finding the Fourth Proportional to 3,375.86, 4,658.57 and 2,117.62

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Solution

The fourth proportional to 3,375.86, 4,658.57 and 2,117.62 is: 2,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.86 : 4,658.57 = 2,117.62 : x
  2. Step 2: Convert to fraction form
    3,375.86/4,658.57 = 2,117.62/x
  3. Step 3: Cross multiply
    3,375.86x = 4,658.57 × 2,117.62
  4. Step 4: Simplify right side
    3,375.86x = 9,865,058.77
  5. Step 5: Solve for x
    x = 9,865,058.77/3,375.86
  6. Step 6: Final answer
    x = 2,922.24

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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.