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Finding the Fourth Proportional to 5,397.54, 7,448.13 and 3,007.41

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Solution

The fourth proportional to 5,397.54, 7,448.13 and 3,007.41 is: 4,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.54 : 7,448.13 = 3,007.41 : x
  2. Step 2: Convert to fraction form
    5,397.54/7,448.13 = 3,007.41/x
  3. Step 3: Cross multiply
    5,397.54x = 7,448.13 × 3,007.41
  4. Step 4: Simplify right side
    5,397.54x = 22,399,580.64
  5. Step 5: Solve for x
    x = 22,399,580.64/5,397.54
  6. Step 6: Final answer
    x = 4,149.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.