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Finding the Fourth Proportional to 5,725.86, 7,901.24 and 3,207.63

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Solution

The fourth proportional to 5,725.86, 7,901.24 and 3,207.63 is: 4,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.86 : 7,901.24 = 3,207.63 : x
  2. Step 2: Convert to fraction form
    5,725.86/7,901.24 = 3,207.63/x
  3. Step 3: Cross multiply
    5,725.86x = 7,901.24 × 3,207.63
  4. Step 4: Simplify right side
    5,725.86x = 25,344,254.46
  5. Step 5: Solve for x
    x = 25,344,254.46/5,725.86
  6. Step 6: Final answer
    x = 4,426.28

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