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Finding the Fourth Proportional to 3,472.07, 5,208.87 and 1,007.07

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Solution

The fourth proportional to 3,472.07, 5,208.87 and 1,007.07 is: 1,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.07 : 5,208.87 = 1,007.07 : x
  2. Step 2: Convert to fraction form
    3,472.07/5,208.87 = 1,007.07/x
  3. Step 3: Cross multiply
    3,472.07x = 5,208.87 × 1,007.07
  4. Step 4: Simplify right side
    3,472.07x = 5,245,696.71
  5. Step 5: Solve for x
    x = 5,245,696.71/3,472.07
  6. Step 6: Final answer
    x = 1,510.83

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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.