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Finding the Fourth Proportional to 4,382, 6,047.12 and 2,613.68

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Solution

The fourth proportional to 4,382, 6,047.12 and 2,613.68 is: 3,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382 : 6,047.12 = 2,613.68 : x
  2. Step 2: Convert to fraction form
    4,382/6,047.12 = 2,613.68/x
  3. Step 3: Cross multiply
    4,382x = 6,047.12 × 2,613.68
  4. Step 4: Simplify right side
    4,382x = 15,805,236.60
  5. Step 5: Solve for x
    x = 15,805,236.60/4,382
  6. Step 6: Final answer
    x = 3,606.85

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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.