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Finding the Fourth Proportional to 3,472.60, 5,209.70 and 1,007.45

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Solution

The fourth proportional to 3,472.60, 5,209.70 and 1,007.45 is: 1,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.60 : 5,209.70 = 1,007.45 : x
  2. Step 2: Convert to fraction form
    3,472.60/5,209.70 = 1,007.45/x
  3. Step 3: Cross multiply
    3,472.60x = 5,209.70 × 1,007.45
  4. Step 4: Simplify right side
    3,472.60x = 5,248,512.27
  5. Step 5: Solve for x
    x = 5,248,512.27/3,472.60
  6. Step 6: Final answer
    x = 1,511.41

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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.