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Finding the Fourth Proportional to 4,294.92, 5,925.42 and 3,512.28

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Solution

The fourth proportional to 4,294.92, 5,925.42 and 3,512.28 is: 4,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.92 : 5,925.42 = 3,512.28 : x
  2. Step 2: Convert to fraction form
    4,294.92/5,925.42 = 3,512.28/x
  3. Step 3: Cross multiply
    4,294.92x = 5,925.42 × 3,512.28
  4. Step 4: Simplify right side
    4,294.92x = 20,811,734.16
  5. Step 5: Solve for x
    x = 20,811,734.16/4,294.92
  6. Step 6: Final answer
    x = 4,845.66

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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.