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Finding the Fourth Proportional to 4,042.67, 6,058.46 and 3,054.66

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Solution

The fourth proportional to 4,042.67, 6,058.46 and 3,054.66 is: 4,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.67 : 6,058.46 = 3,054.66 : x
  2. Step 2: Convert to fraction form
    4,042.67/6,058.46 = 3,054.66/x
  3. Step 3: Cross multiply
    4,042.67x = 6,058.46 × 3,054.66
  4. Step 4: Simplify right side
    4,042.67x = 18,506,520.15
  5. Step 5: Solve for x
    x = 18,506,520.15/4,042.67
  6. Step 6: Final answer
    x = 4,577.80

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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.