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Finding the Fourth Proportional to 5,725.36, 7,901.17 and 3,207.47

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Solution

The fourth proportional to 5,725.36, 7,901.17 and 3,207.47 is: 4,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.36 : 7,901.17 = 3,207.47 : x
  2. Step 2: Convert to fraction form
    5,725.36/7,901.17 = 3,207.47/x
  3. Step 3: Cross multiply
    5,725.36x = 7,901.17 × 3,207.47
  4. Step 4: Simplify right side
    5,725.36x = 25,342,718.22
  5. Step 5: Solve for x
    x = 25,342,718.22/5,725.36
  6. Step 6: Final answer
    x = 4,426.40

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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.