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Finding the Fourth Proportional to 3,642.28, 5,026.35 and 1,986.28

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Solution

The fourth proportional to 3,642.28, 5,026.35 and 1,986.28 is: 2,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.28 : 5,026.35 = 1,986.28 : x
  2. Step 2: Convert to fraction form
    3,642.28/5,026.35 = 1,986.28/x
  3. Step 3: Cross multiply
    3,642.28x = 5,026.35 × 1,986.28
  4. Step 4: Simplify right side
    3,642.28x = 9,983,738.48
  5. Step 5: Solve for x
    x = 9,983,738.48/3,642.28
  6. Step 6: Final answer
    x = 2,741.07

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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.