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Finding the Fourth Proportional to 3,364.45, 5,046.63 and 865.62

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Solution

The fourth proportional to 3,364.45, 5,046.63 and 865.62 is: 1,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.45 : 5,046.63 = 865.62 : x
  2. Step 2: Convert to fraction form
    3,364.45/5,046.63 = 865.62/x
  3. Step 3: Cross multiply
    3,364.45x = 5,046.63 × 865.62
  4. Step 4: Simplify right side
    3,364.45x = 4,368,463.86
  5. Step 5: Solve for x
    x = 4,368,463.86/3,364.45
  6. Step 6: Final answer
    x = 1,298.42

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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.