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Finding the Fourth Proportional to 5,470.60, 8,204.10 and 2,007.40

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Solution

The fourth proportional to 5,470.60, 8,204.10 and 2,007.40 is: 3,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.60 : 8,204.10 = 2,007.40 : x
  2. Step 2: Convert to fraction form
    5,470.60/8,204.10 = 2,007.40/x
  3. Step 3: Cross multiply
    5,470.60x = 8,204.10 × 2,007.40
  4. Step 4: Simplify right side
    5,470.60x = 16,468,910.34
  5. Step 5: Solve for x
    x = 16,468,910.34/5,470.60
  6. Step 6: Final answer
    x = 3,010.44

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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.