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Finding the Fourth Proportional to 5,600, 8,394.32 and 2,314.92

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Solution

The fourth proportional to 5,600, 8,394.32 and 2,314.92 is: 3,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600 : 8,394.32 = 2,314.92 : x
  2. Step 2: Convert to fraction form
    5,600/8,394.32 = 2,314.92/x
  3. Step 3: Cross multiply
    5,600x = 8,394.32 × 2,314.92
  4. Step 4: Simplify right side
    5,600x = 19,432,179.25
  5. Step 5: Solve for x
    x = 19,432,179.25/5,600
  6. Step 6: Final answer
    x = 3,470.03

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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.