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Finding the Fourth Proportional to 3,876.40, 5,352.07 and 2,602.19

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Solution

The fourth proportional to 3,876.40, 5,352.07 and 2,602.19 is: 3,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.40 : 5,352.07 = 2,602.19 : x
  2. Step 2: Convert to fraction form
    3,876.40/5,352.07 = 2,602.19/x
  3. Step 3: Cross multiply
    3,876.40x = 5,352.07 × 2,602.19
  4. Step 4: Simplify right side
    3,876.40x = 13,927,103.03
  5. Step 5: Solve for x
    x = 13,927,103.03/3,876.40
  6. Step 6: Final answer
    x = 3,592.79

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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.