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Finding the Fourth Proportional to 5,725.62, 7,903.98 and 4,165.56

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Solution

The fourth proportional to 5,725.62, 7,903.98 and 4,165.56 is: 5,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.62 : 7,903.98 = 4,165.56 : x
  2. Step 2: Convert to fraction form
    5,725.62/7,903.98 = 4,165.56/x
  3. Step 3: Cross multiply
    5,725.62x = 7,903.98 × 4,165.56
  4. Step 4: Simplify right side
    5,725.62x = 32,924,502.93
  5. Step 5: Solve for x
    x = 32,924,502.93/5,725.62
  6. Step 6: Final answer
    x = 5,750.38

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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.