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Finding the Fourth Proportional to 3,470.48, 5,206.48 and 1,005.32

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Solution

The fourth proportional to 3,470.48, 5,206.48 and 1,005.32 is: 1,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.48 : 5,206.48 = 1,005.32 : x
  2. Step 2: Convert to fraction form
    3,470.48/5,206.48 = 1,005.32/x
  3. Step 3: Cross multiply
    3,470.48x = 5,206.48 × 1,005.32
  4. Step 4: Simplify right side
    3,470.48x = 5,234,178.47
  5. Step 5: Solve for x
    x = 5,234,178.47/3,470.48
  6. Step 6: Final answer
    x = 1,508.20

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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.