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Finding the Fourth Proportional to 5,159.80, 7,739.70 and 2,567.80

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Solution

The fourth proportional to 5,159.80, 7,739.70 and 2,567.80 is: 3,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.80 : 7,739.70 = 2,567.80 : x
  2. Step 2: Convert to fraction form
    5,159.80/7,739.70 = 2,567.80/x
  3. Step 3: Cross multiply
    5,159.80x = 7,739.70 × 2,567.80
  4. Step 4: Simplify right side
    5,159.80x = 19,874,001.66
  5. Step 5: Solve for x
    x = 19,874,001.66/5,159.80
  6. Step 6: Final answer
    x = 3,851.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.