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Finding the Fourth Proportional to 5,725.74, 7,901.78 and 3,207.80

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Solution

The fourth proportional to 5,725.74, 7,901.78 and 3,207.80 is: 4,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.74 : 7,901.78 = 3,207.80 : x
  2. Step 2: Convert to fraction form
    5,725.74/7,901.78 = 3,207.80/x
  3. Step 3: Cross multiply
    5,725.74x = 7,901.78 × 3,207.80
  4. Step 4: Simplify right side
    5,725.74x = 25,347,274.34
  5. Step 5: Solve for x
    x = 25,347,274.34/5,725.74
  6. Step 6: Final answer
    x = 4,426.90

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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.