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Finding the Fourth Proportional to 5,642.73, 8,462.07 and 1,944

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Solution

The fourth proportional to 5,642.73, 8,462.07 and 1,944 is: 2,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.73 : 8,462.07 = 1,944 : x
  2. Step 2: Convert to fraction form
    5,642.73/8,462.07 = 1,944/x
  3. Step 3: Cross multiply
    5,642.73x = 8,462.07 × 1,944
  4. Step 4: Simplify right side
    5,642.73x = 16,450,264.08
  5. Step 5: Solve for x
    x = 16,450,264.08/5,642.73
  6. Step 6: Final answer
    x = 2,915.30

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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.