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Finding the Fourth Proportional to 3,334.94, 5,002.70 and 869.76

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Solution

The fourth proportional to 3,334.94, 5,002.70 and 869.76 is: 1,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.94 : 5,002.70 = 869.76 : x
  2. Step 2: Convert to fraction form
    3,334.94/5,002.70 = 869.76/x
  3. Step 3: Cross multiply
    3,334.94x = 5,002.70 × 869.76
  4. Step 4: Simplify right side
    3,334.94x = 4,351,144.00
  5. Step 5: Solve for x
    x = 4,351,144.00/3,334.94
  6. Step 6: Final answer
    x = 1,304.72

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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.