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Finding the Fourth Proportional to 5,838.53, 8,057.18 and 3,742.66

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Solution

The fourth proportional to 5,838.53, 8,057.18 and 3,742.66 is: 5,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.53 : 8,057.18 = 3,742.66 : x
  2. Step 2: Convert to fraction form
    5,838.53/8,057.18 = 3,742.66/x
  3. Step 3: Cross multiply
    5,838.53x = 8,057.18 × 3,742.66
  4. Step 4: Simplify right side
    5,838.53x = 30,155,226.30
  5. Step 5: Solve for x
    x = 30,155,226.30/5,838.53
  6. Step 6: Final answer
    x = 5,164.87

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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.