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Finding the Fourth Proportional to 4,842.38, 6,683.88 and 3,140.84

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Solution

The fourth proportional to 4,842.38, 6,683.88 and 3,140.84 is: 4,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.38 : 6,683.88 = 3,140.84 : x
  2. Step 2: Convert to fraction form
    4,842.38/6,683.88 = 3,140.84/x
  3. Step 3: Cross multiply
    4,842.38x = 6,683.88 × 3,140.84
  4. Step 4: Simplify right side
    4,842.38x = 20,992,964.24
  5. Step 5: Solve for x
    x = 20,992,964.24/4,842.38
  6. Step 6: Final answer
    x = 4,335.26

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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.