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Finding the Fourth Proportional to 3,334.20, 5,001.59 and 869.02

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Solution

The fourth proportional to 3,334.20, 5,001.59 and 869.02 is: 1,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.20 : 5,001.59 = 869.02 : x
  2. Step 2: Convert to fraction form
    3,334.20/5,001.59 = 869.02/x
  3. Step 3: Cross multiply
    3,334.20x = 5,001.59 × 869.02
  4. Step 4: Simplify right side
    3,334.20x = 4,346,481.74
  5. Step 5: Solve for x
    x = 4,346,481.74/3,334.20
  6. Step 6: Final answer
    x = 1,303.61

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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.