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Finding the Fourth Proportional to 4,117, 5,682.18 and 2,348.68

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Solution

The fourth proportional to 4,117, 5,682.18 and 2,348.68 is: 3,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117 : 5,682.18 = 2,348.68 : x
  2. Step 2: Convert to fraction form
    4,117/5,682.18 = 2,348.68/x
  3. Step 3: Cross multiply
    4,117x = 5,682.18 × 2,348.68
  4. Step 4: Simplify right side
    4,117x = 13,345,622.52
  5. Step 5: Solve for x
    x = 13,345,622.52/4,117
  6. Step 6: Final answer
    x = 3,241.59

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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.