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Finding the Fourth Proportional to 3,809.13, 5,713.64 and 1,036.06

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Solution

The fourth proportional to 3,809.13, 5,713.64 and 1,036.06 is: 1,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.13 : 5,713.64 = 1,036.06 : x
  2. Step 2: Convert to fraction form
    3,809.13/5,713.64 = 1,036.06/x
  3. Step 3: Cross multiply
    3,809.13x = 5,713.64 × 1,036.06
  4. Step 4: Simplify right side
    3,809.13x = 5,919,658.28
  5. Step 5: Solve for x
    x = 5,919,658.28/3,809.13
  6. Step 6: Final answer
    x = 1,554.07

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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.