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Finding the Fourth Proportional to 3,546.61, 4,894.34 and 2,034.23

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Solution

The fourth proportional to 3,546.61, 4,894.34 and 2,034.23 is: 2,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.61 : 4,894.34 = 2,034.23 : x
  2. Step 2: Convert to fraction form
    3,546.61/4,894.34 = 2,034.23/x
  3. Step 3: Cross multiply
    3,546.61x = 4,894.34 × 2,034.23
  4. Step 4: Simplify right side
    3,546.61x = 9,956,213.26
  5. Step 5: Solve for x
    x = 9,956,213.26/3,546.61
  6. Step 6: Final answer
    x = 2,807.25

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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.