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Finding the Fourth Proportional to 3,294.72, 4,941.94 and 954.72

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Solution

The fourth proportional to 3,294.72, 4,941.94 and 954.72 is: 1,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.72 : 4,941.94 = 954.72 : x
  2. Step 2: Convert to fraction form
    3,294.72/4,941.94 = 954.72/x
  3. Step 3: Cross multiply
    3,294.72x = 4,941.94 × 954.72
  4. Step 4: Simplify right side
    3,294.72x = 4,718,168.96
  5. Step 5: Solve for x
    x = 4,718,168.96/3,294.72
  6. Step 6: Final answer
    x = 1,432.04

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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.