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Finding the Fourth Proportional to 4,642.84, 6,403.38 and 4,082.12

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Solution

The fourth proportional to 4,642.84, 6,403.38 and 4,082.12 is: 5,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.84 : 6,403.38 = 4,082.12 : x
  2. Step 2: Convert to fraction form
    4,642.84/6,403.38 = 4,082.12/x
  3. Step 3: Cross multiply
    4,642.84x = 6,403.38 × 4,082.12
  4. Step 4: Simplify right side
    4,642.84x = 26,139,365.57
  5. Step 5: Solve for x
    x = 26,139,365.57/4,642.84
  6. Step 6: Final answer
    x = 5,630.04

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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.