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Finding the Fourth Proportional to 3,478.55, 5,186.79 and 3,092.18

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Solution

The fourth proportional to 3,478.55, 5,186.79 and 3,092.18 is: 4,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.55 : 5,186.79 = 3,092.18 : x
  2. Step 2: Convert to fraction form
    3,478.55/5,186.79 = 3,092.18/x
  3. Step 3: Cross multiply
    3,478.55x = 5,186.79 × 3,092.18
  4. Step 4: Simplify right side
    3,478.55x = 16,038,446.91
  5. Step 5: Solve for x
    x = 16,038,446.91/3,478.55
  6. Step 6: Final answer
    x = 4,610.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.