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Finding the Fourth Proportional to 3,375.34, 4,657.14 and 2,117.02

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Solution

The fourth proportional to 3,375.34, 4,657.14 and 2,117.02 is: 2,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.34 : 4,657.14 = 2,117.02 : x
  2. Step 2: Convert to fraction form
    3,375.34/4,657.14 = 2,117.02/x
  3. Step 3: Cross multiply
    3,375.34x = 4,657.14 × 2,117.02
  4. Step 4: Simplify right side
    3,375.34x = 9,859,258.52
  5. Step 5: Solve for x
    x = 9,859,258.52/3,375.34
  6. Step 6: Final answer
    x = 2,920.97

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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.