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Finding the Fourth Proportional to 3,470.68, 5,205.24 and 1,004.95

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Solution

The fourth proportional to 3,470.68, 5,205.24 and 1,004.95 is: 1,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.68 : 5,205.24 = 1,004.95 : x
  2. Step 2: Convert to fraction form
    3,470.68/5,205.24 = 1,004.95/x
  3. Step 3: Cross multiply
    3,470.68x = 5,205.24 × 1,004.95
  4. Step 4: Simplify right side
    3,470.68x = 5,231,005.94
  5. Step 5: Solve for x
    x = 5,231,005.94/3,470.68
  6. Step 6: Final answer
    x = 1,507.20

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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.