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Finding the Fourth Proportional to 3,809.52, 5,713.62 and 1,036.42

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Solution

The fourth proportional to 3,809.52, 5,713.62 and 1,036.42 is: 1,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.52 : 5,713.62 = 1,036.42 : x
  2. Step 2: Convert to fraction form
    3,809.52/5,713.62 = 1,036.42/x
  3. Step 3: Cross multiply
    3,809.52x = 5,713.62 × 1,036.42
  4. Step 4: Simplify right side
    3,809.52x = 5,921,710.04
  5. Step 5: Solve for x
    x = 5,921,710.04/3,809.52
  6. Step 6: Final answer
    x = 1,554.45

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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.