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Finding the Fourth Proportional to 3,643.17, 5,026.12 and 2,049.45

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Solution

The fourth proportional to 3,643.17, 5,026.12 and 2,049.45 is: 2,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.17 : 5,026.12 = 2,049.45 : x
  2. Step 2: Convert to fraction form
    3,643.17/5,026.12 = 2,049.45/x
  3. Step 3: Cross multiply
    3,643.17x = 5,026.12 × 2,049.45
  4. Step 4: Simplify right side
    3,643.17x = 10,300,781.63
  5. Step 5: Solve for x
    x = 10,300,781.63/3,643.17
  6. Step 6: Final answer
    x = 2,827.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.