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Finding the Fourth Proportional to 4,388.16, 6,580.88 and 1,922.38

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Solution

The fourth proportional to 4,388.16, 6,580.88 and 1,922.38 is: 2,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,388.16 : 6,580.88 = 1,922.38 : x
  2. Step 2: Convert to fraction form
    4,388.16/6,580.88 = 1,922.38/x
  3. Step 3: Cross multiply
    4,388.16x = 6,580.88 × 1,922.38
  4. Step 4: Simplify right side
    4,388.16x = 12,650,952.09
  5. Step 5: Solve for x
    x = 12,650,952.09/4,388.16
  6. Step 6: Final answer
    x = 2,882.97

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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.