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Finding the Fourth Proportional to 4,174.39, 5,760.48 and 2,406.16

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Solution

The fourth proportional to 4,174.39, 5,760.48 and 2,406.16 is: 3,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.39 : 5,760.48 = 2,406.16 : x
  2. Step 2: Convert to fraction form
    4,174.39/5,760.48 = 2,406.16/x
  3. Step 3: Cross multiply
    4,174.39x = 5,760.48 × 2,406.16
  4. Step 4: Simplify right side
    4,174.39x = 13,860,636.56
  5. Step 5: Solve for x
    x = 13,860,636.56/4,174.39
  6. Step 6: Final answer
    x = 3,320.40

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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.