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Finding the Fourth Proportional to 4,175.01, 5,760.18 and 2,406.24

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Solution

The fourth proportional to 4,175.01, 5,760.18 and 2,406.24 is: 3,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.01 : 5,760.18 = 2,406.24 : x
  2. Step 2: Convert to fraction form
    4,175.01/5,760.18 = 2,406.24/x
  3. Step 3: Cross multiply
    4,175.01x = 5,760.18 × 2,406.24
  4. Step 4: Simplify right side
    4,175.01x = 13,860,375.52
  5. Step 5: Solve for x
    x = 13,860,375.52/4,175.01
  6. Step 6: Final answer
    x = 3,319.84

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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.