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Finding the Fourth Proportional to 4,228, 6,343.92 and 2,036.32

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Solution

The fourth proportional to 4,228, 6,343.92 and 2,036.32 is: 3,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228 : 6,343.92 = 2,036.32 : x
  2. Step 2: Convert to fraction form
    4,228/6,343.92 = 2,036.32/x
  3. Step 3: Cross multiply
    4,228x = 6,343.92 × 2,036.32
  4. Step 4: Simplify right side
    4,228x = 12,918,251.17
  5. Step 5: Solve for x
    x = 12,918,251.17/4,228
  6. Step 6: Final answer
    x = 3,055.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.