Home / 4,159.74-5,740.38-2,271.36

Finding the Fourth Proportional to 4,159.74, 5,740.38 and 2,271.36

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Solution

The fourth proportional to 4,159.74, 5,740.38 and 2,271.36 is: 3,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.74 : 5,740.38 = 2,271.36 : x
  2. Step 2: Convert to fraction form
    4,159.74/5,740.38 = 2,271.36/x
  3. Step 3: Cross multiply
    4,159.74x = 5,740.38 × 2,271.36
  4. Step 4: Simplify right side
    4,159.74x = 13,038,469.52
  5. Step 5: Solve for x
    x = 13,038,469.52/4,159.74
  6. Step 6: Final answer
    x = 3,134.44

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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.