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Finding the Fourth Proportional to 3,058.82, 4,597.20 and 2,542.16

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Solution

The fourth proportional to 3,058.82, 4,597.20 and 2,542.16 is: 3,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.82 : 4,597.20 = 2,542.16 : x
  2. Step 2: Convert to fraction form
    3,058.82/4,597.20 = 2,542.16/x
  3. Step 3: Cross multiply
    3,058.82x = 4,597.20 × 2,542.16
  4. Step 4: Simplify right side
    3,058.82x = 11,686,817.95
  5. Step 5: Solve for x
    x = 11,686,817.95/3,058.82
  6. Step 6: Final answer
    x = 3,820.69

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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.