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Finding the Fourth Proportional to 3,472.80, 5,208.42 and 1,007.08

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Solution

The fourth proportional to 3,472.80, 5,208.42 and 1,007.08 is: 1,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.80 : 5,208.42 = 1,007.08 : x
  2. Step 2: Convert to fraction form
    3,472.80/5,208.42 = 1,007.08/x
  3. Step 3: Cross multiply
    3,472.80x = 5,208.42 × 1,007.08
  4. Step 4: Simplify right side
    3,472.80x = 5,245,295.61
  5. Step 5: Solve for x
    x = 5,245,295.61/3,472.80
  6. Step 6: Final answer
    x = 1,510.39

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1.5x scale

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.