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Finding the Fourth Proportional to 5,682.60, 7,834.68 and 4,165.38

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Solution

The fourth proportional to 5,682.60, 7,834.68 and 4,165.38 is: 5,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.60 : 7,834.68 = 4,165.38 : x
  2. Step 2: Convert to fraction form
    5,682.60/7,834.68 = 4,165.38/x
  3. Step 3: Cross multiply
    5,682.60x = 7,834.68 × 4,165.38
  4. Step 4: Simplify right side
    5,682.60x = 32,634,419.38
  5. Step 5: Solve for x
    x = 32,634,419.38/5,682.60
  6. Step 6: Final answer
    x = 5,742.87

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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.