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Finding the Fourth Proportional to 3,643.18, 5,026.74 and 2,646.74

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Solution

The fourth proportional to 3,643.18, 5,026.74 and 2,646.74 is: 3,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.18 : 5,026.74 = 2,646.74 : x
  2. Step 2: Convert to fraction form
    3,643.18/5,026.74 = 2,646.74/x
  3. Step 3: Cross multiply
    3,643.18x = 5,026.74 × 2,646.74
  4. Step 4: Simplify right side
    3,643.18x = 13,304,473.83
  5. Step 5: Solve for x
    x = 13,304,473.83/3,643.18
  6. Step 6: Final answer
    x = 3,651.88

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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.