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Finding the Fourth Proportional to 5,725.98, 7,901.30 and 3,207.89

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Solution

The fourth proportional to 5,725.98, 7,901.30 and 3,207.89 is: 4,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.98 : 7,901.30 = 3,207.89 : x
  2. Step 2: Convert to fraction form
    5,725.98/7,901.30 = 3,207.89/x
  3. Step 3: Cross multiply
    5,725.98x = 7,901.30 × 3,207.89
  4. Step 4: Simplify right side
    5,725.98x = 25,346,445.71
  5. Step 5: Solve for x
    x = 25,346,445.71/5,725.98
  6. Step 6: Final answer
    x = 4,426.57

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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.