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Finding the Fourth Proportional to 3,159.01, 4,762.24 and 2,723.64

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Solution

The fourth proportional to 3,159.01, 4,762.24 and 2,723.64 is: 4,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.01 : 4,762.24 = 2,723.64 : x
  2. Step 2: Convert to fraction form
    3,159.01/4,762.24 = 2,723.64/x
  3. Step 3: Cross multiply
    3,159.01x = 4,762.24 × 2,723.64
  4. Step 4: Simplify right side
    3,159.01x = 12,970,627.35
  5. Step 5: Solve for x
    x = 12,970,627.35/3,159.01
  6. Step 6: Final answer
    x = 4,105.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.