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Finding the Fourth Proportional to 3,643.34, 5,456.04 and 2,079.48

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Solution

The fourth proportional to 3,643.34, 5,456.04 and 2,079.48 is: 3,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.34 : 5,456.04 = 2,079.48 : x
  2. Step 2: Convert to fraction form
    3,643.34/5,456.04 = 2,079.48/x
  3. Step 3: Cross multiply
    3,643.34x = 5,456.04 × 2,079.48
  4. Step 4: Simplify right side
    3,643.34x = 11,345,726.06
  5. Step 5: Solve for x
    x = 11,345,726.06/3,643.34
  6. Step 6: Final answer
    x = 3,114.10

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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.