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Finding the Fourth Proportional to 3,144.64, 4,717.54 and 1,036.39

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Solution

The fourth proportional to 3,144.64, 4,717.54 and 1,036.39 is: 1,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.64 : 4,717.54 = 1,036.39 : x
  2. Step 2: Convert to fraction form
    3,144.64/4,717.54 = 1,036.39/x
  3. Step 3: Cross multiply
    3,144.64x = 4,717.54 × 1,036.39
  4. Step 4: Simplify right side
    3,144.64x = 4,889,211.28
  5. Step 5: Solve for x
    x = 4,889,211.28/3,144.64
  6. Step 6: Final answer
    x = 1,554.78

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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.