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Finding the Fourth Proportional to 3,862.74, 5,326.57 and 3,305.05

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Solution

The fourth proportional to 3,862.74, 5,326.57 and 3,305.05 is: 4,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.74 : 5,326.57 = 3,305.05 : x
  2. Step 2: Convert to fraction form
    3,862.74/5,326.57 = 3,305.05/x
  3. Step 3: Cross multiply
    3,862.74x = 5,326.57 × 3,305.05
  4. Step 4: Simplify right side
    3,862.74x = 17,604,580.18
  5. Step 5: Solve for x
    x = 17,604,580.18/3,862.74
  6. Step 6: Final answer
    x = 4,557.54

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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.