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Finding the Fourth Proportional to 5,644.16, 8,456.92 and 1,944.40

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Solution

The fourth proportional to 5,644.16, 8,456.92 and 1,944.40 is: 2,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.16 : 8,456.92 = 1,944.40 : x
  2. Step 2: Convert to fraction form
    5,644.16/8,456.92 = 1,944.40/x
  3. Step 3: Cross multiply
    5,644.16x = 8,456.92 × 1,944.40
  4. Step 4: Simplify right side
    5,644.16x = 16,443,635.25
  5. Step 5: Solve for x
    x = 16,443,635.25/5,644.16
  6. Step 6: Final answer
    x = 2,913.39

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1.5x scale

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.