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Finding the Fourth Proportional to 6,104.76, 8,424 and 3,452.40

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Solution

The fourth proportional to 6,104.76, 8,424 and 3,452.40 is: 4,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.76 : 8,424 = 3,452.40 : x
  2. Step 2: Convert to fraction form
    6,104.76/8,424 = 3,452.40/x
  3. Step 3: Cross multiply
    6,104.76x = 8,424 × 3,452.40
  4. Step 4: Simplify right side
    6,104.76x = 29,083,017.60
  5. Step 5: Solve for x
    x = 29,083,017.60/6,104.76
  6. Step 6: Final answer
    x = 4,763.99

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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.