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Finding the Fourth Proportional to 3,905.68, 5,860.68 and 1,597

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Solution

The fourth proportional to 3,905.68, 5,860.68 and 1,597 is: 2,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.68 : 5,860.68 = 1,597 : x
  2. Step 2: Convert to fraction form
    3,905.68/5,860.68 = 1,597/x
  3. Step 3: Cross multiply
    3,905.68x = 5,860.68 × 1,597
  4. Step 4: Simplify right side
    3,905.68x = 9,359,505.96
  5. Step 5: Solve for x
    x = 9,359,505.96/3,905.68
  6. Step 6: Final answer
    x = 2,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.