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Finding the Fourth Proportional to 3,442.62, 4,738.59 and 2,544.66

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Solution

The fourth proportional to 3,442.62, 4,738.59 and 2,544.66 is: 3,502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.62 : 4,738.59 = 2,544.66 : x
  2. Step 2: Convert to fraction form
    3,442.62/4,738.59 = 2,544.66/x
  3. Step 3: Cross multiply
    3,442.62x = 4,738.59 × 2,544.66
  4. Step 4: Simplify right side
    3,442.62x = 12,058,100.43
  5. Step 5: Solve for x
    x = 12,058,100.43/3,442.62
  6. Step 6: Final answer
    x = 3,502.59

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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.