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Finding the Fourth Proportional to 3,472.36, 5,208.38 and 1,007.13

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Solution

The fourth proportional to 3,472.36, 5,208.38 and 1,007.13 is: 1,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.36 : 5,208.38 = 1,007.13 : x
  2. Step 2: Convert to fraction form
    3,472.36/5,208.38 = 1,007.13/x
  3. Step 3: Cross multiply
    3,472.36x = 5,208.38 × 1,007.13
  4. Step 4: Simplify right side
    3,472.36x = 5,245,515.75
  5. Step 5: Solve for x
    x = 5,245,515.75/3,472.36
  6. Step 6: Final answer
    x = 1,510.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.