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Finding the Fourth Proportional to 5,874.84, 8,098.08 and 4,452.84

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Solution

The fourth proportional to 5,874.84, 8,098.08 and 4,452.84 is: 6,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.84 : 8,098.08 = 4,452.84 : x
  2. Step 2: Convert to fraction form
    5,874.84/8,098.08 = 4,452.84/x
  3. Step 3: Cross multiply
    5,874.84x = 8,098.08 × 4,452.84
  4. Step 4: Simplify right side
    5,874.84x = 36,059,454.55
  5. Step 5: Solve for x
    x = 36,059,454.55/5,874.84
  6. Step 6: Final answer
    x = 6,137.95

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1.5x scale

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.