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Finding the Fourth Proportional to 4,165.78, 5,748.22 and 2,675.72

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Solution

The fourth proportional to 4,165.78, 5,748.22 and 2,675.72 is: 3,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.78 : 5,748.22 = 2,675.72 : x
  2. Step 2: Convert to fraction form
    4,165.78/5,748.22 = 2,675.72/x
  3. Step 3: Cross multiply
    4,165.78x = 5,748.22 × 2,675.72
  4. Step 4: Simplify right side
    4,165.78x = 15,380,585.10
  5. Step 5: Solve for x
    x = 15,380,585.10/4,165.78
  6. Step 6: Final answer
    x = 3,692.13

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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.