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Finding the Fourth Proportional to 5,754.45, 8,613.45 and 4,114.20

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Solution

The fourth proportional to 5,754.45, 8,613.45 and 4,114.20 is: 6,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.45 : 8,613.45 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    5,754.45/8,613.45 = 4,114.20/x
  3. Step 3: Cross multiply
    5,754.45x = 8,613.45 × 4,114.20
  4. Step 4: Simplify right side
    5,754.45x = 35,437,455.99
  5. Step 5: Solve for x
    x = 35,437,455.99/5,754.45
  6. Step 6: Final answer
    x = 6,158.27

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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.