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Finding the Fourth Proportional to 3,869.10, 5,803.65 and 3,447.90

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Solution

The fourth proportional to 3,869.10, 5,803.65 and 3,447.90 is: 5,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.10 : 5,803.65 = 3,447.90 : x
  2. Step 2: Convert to fraction form
    3,869.10/5,803.65 = 3,447.90/x
  3. Step 3: Cross multiply
    3,869.10x = 5,803.65 × 3,447.90
  4. Step 4: Simplify right side
    3,869.10x = 20,010,404.84
  5. Step 5: Solve for x
    x = 20,010,404.84/3,869.10
  6. Step 6: Final answer
    x = 5,171.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.