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Finding the Fourth Proportional to 4,311.49, 6,470.49 and 3,456.13

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Solution

The fourth proportional to 4,311.49, 6,470.49 and 3,456.13 is: 5,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.49 : 6,470.49 = 3,456.13 : x
  2. Step 2: Convert to fraction form
    4,311.49/6,470.49 = 3,456.13/x
  3. Step 3: Cross multiply
    4,311.49x = 6,470.49 × 3,456.13
  4. Step 4: Simplify right side
    4,311.49x = 22,362,854.60
  5. Step 5: Solve for x
    x = 22,362,854.60/4,311.49
  6. Step 6: Final answer
    x = 5,186.80

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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.