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Finding the Fourth Proportional to 3,710.29, 5,121.32 and 2,294.41

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Solution

The fourth proportional to 3,710.29, 5,121.32 and 2,294.41 is: 3,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.29 : 5,121.32 = 2,294.41 : x
  2. Step 2: Convert to fraction form
    3,710.29/5,121.32 = 2,294.41/x
  3. Step 3: Cross multiply
    3,710.29x = 5,121.32 × 2,294.41
  4. Step 4: Simplify right side
    3,710.29x = 11,750,407.82
  5. Step 5: Solve for x
    x = 11,750,407.82/3,710.29
  6. Step 6: Final answer
    x = 3,166.98

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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.