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Finding the Fourth Proportional to 3,374.85, 5,061.30 and 1,294.71

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Solution

The fourth proportional to 3,374.85, 5,061.30 and 1,294.71 is: 1,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.85 : 5,061.30 = 1,294.71 : x
  2. Step 2: Convert to fraction form
    3,374.85/5,061.30 = 1,294.71/x
  3. Step 3: Cross multiply
    3,374.85x = 5,061.30 × 1,294.71
  4. Step 4: Simplify right side
    3,374.85x = 6,552,915.72
  5. Step 5: Solve for x
    x = 6,552,915.72/3,374.85
  6. Step 6: Final answer
    x = 1,941.69

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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.