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Finding the Fourth Proportional to 3,470.54, 5,206.68 and 1,005.53

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Solution

The fourth proportional to 3,470.54, 5,206.68 and 1,005.53 is: 1,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.54 : 5,206.68 = 1,005.53 : x
  2. Step 2: Convert to fraction form
    3,470.54/5,206.68 = 1,005.53/x
  3. Step 3: Cross multiply
    3,470.54x = 5,206.68 × 1,005.53
  4. Step 4: Simplify right side
    3,470.54x = 5,235,446.91
  5. Step 5: Solve for x
    x = 5,235,446.91/3,470.54
  6. Step 6: Final answer
    x = 1,508.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.