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Finding the Fourth Proportional to 5,164.32, 7,741.15 and 2,043.06

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Solution

The fourth proportional to 5,164.32, 7,741.15 and 2,043.06 is: 3,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.32 : 7,741.15 = 2,043.06 : x
  2. Step 2: Convert to fraction form
    5,164.32/7,741.15 = 2,043.06/x
  3. Step 3: Cross multiply
    5,164.32x = 7,741.15 × 2,043.06
  4. Step 4: Simplify right side
    5,164.32x = 15,815,633.92
  5. Step 5: Solve for x
    x = 15,815,633.92/5,164.32
  6. Step 6: Final answer
    x = 3,062.48

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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.