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Finding the Fourth Proportional to 5,266.74, 7,897.60 and 1,567.68

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Solution

The fourth proportional to 5,266.74, 7,897.60 and 1,567.68 is: 2,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.74 : 7,897.60 = 1,567.68 : x
  2. Step 2: Convert to fraction form
    5,266.74/7,897.60 = 1,567.68/x
  3. Step 3: Cross multiply
    5,266.74x = 7,897.60 × 1,567.68
  4. Step 4: Simplify right side
    5,266.74x = 12,380,909.57
  5. Step 5: Solve for x
    x = 12,380,909.57/5,266.74
  6. Step 6: Final answer
    x = 2,350.77

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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.