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Finding the Fourth Proportional to 5,294.60, 7,305.76 and 3,169.63

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Solution

The fourth proportional to 5,294.60, 7,305.76 and 3,169.63 is: 4,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.60 : 7,305.76 = 3,169.63 : x
  2. Step 2: Convert to fraction form
    5,294.60/7,305.76 = 3,169.63/x
  3. Step 3: Cross multiply
    5,294.60x = 7,305.76 × 3,169.63
  4. Step 4: Simplify right side
    5,294.60x = 23,156,569.16
  5. Step 5: Solve for x
    x = 23,156,569.16/5,294.60
  6. Step 6: Final answer
    x = 4,373.62

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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.