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Finding the Fourth Proportional to 5,164.38, 7,746.39 and 1,654.34

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Solution

The fourth proportional to 5,164.38, 7,746.39 and 1,654.34 is: 2,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.38 : 7,746.39 = 1,654.34 : x
  2. Step 2: Convert to fraction form
    5,164.38/7,746.39 = 1,654.34/x
  3. Step 3: Cross multiply
    5,164.38x = 7,746.39 × 1,654.34
  4. Step 4: Simplify right side
    5,164.38x = 12,815,124.10
  5. Step 5: Solve for x
    x = 12,815,124.10/5,164.38
  6. Step 6: Final answer
    x = 2,481.44

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Similar ratio
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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.