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Finding the Fourth Proportional to 3,841.56, 5,754.06 and 2,602.17

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Solution

The fourth proportional to 3,841.56, 5,754.06 and 2,602.17 is: 3,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.56 : 5,754.06 = 2,602.17 : x
  2. Step 2: Convert to fraction form
    3,841.56/5,754.06 = 2,602.17/x
  3. Step 3: Cross multiply
    3,841.56x = 5,754.06 × 2,602.17
  4. Step 4: Simplify right side
    3,841.56x = 14,973,042.31
  5. Step 5: Solve for x
    x = 14,973,042.31/3,841.56
  6. Step 6: Final answer
    x = 3,897.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.