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Finding the Fourth Proportional to 4,174.80, 5,760.86 and 2,406.02

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Solution

The fourth proportional to 4,174.80, 5,760.86 and 2,406.02 is: 3,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.80 : 5,760.86 = 2,406.02 : x
  2. Step 2: Convert to fraction form
    4,174.80/5,760.86 = 2,406.02/x
  3. Step 3: Cross multiply
    4,174.80x = 5,760.86 × 2,406.02
  4. Step 4: Simplify right side
    4,174.80x = 13,860,744.38
  5. Step 5: Solve for x
    x = 13,860,744.38/4,174.80
  6. Step 6: Final answer
    x = 3,320.10

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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.