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Finding the Fourth Proportional to 4,294.46, 6,441.39 and 1,332.84

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Solution

The fourth proportional to 4,294.46, 6,441.39 and 1,332.84 is: 1,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.46 : 6,441.39 = 1,332.84 : x
  2. Step 2: Convert to fraction form
    4,294.46/6,441.39 = 1,332.84/x
  3. Step 3: Cross multiply
    4,294.46x = 6,441.39 × 1,332.84
  4. Step 4: Simplify right side
    4,294.46x = 8,585,321.50
  5. Step 5: Solve for x
    x = 8,585,321.50/4,294.46
  6. Step 6: Final answer
    x = 1,999.16

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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.