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Finding the Fourth Proportional to 3,255.63, 4,877.92 and 2,326.46

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Solution

The fourth proportional to 3,255.63, 4,877.92 and 2,326.46 is: 3,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.63 : 4,877.92 = 2,326.46 : x
  2. Step 2: Convert to fraction form
    3,255.63/4,877.92 = 2,326.46/x
  3. Step 3: Cross multiply
    3,255.63x = 4,877.92 × 2,326.46
  4. Step 4: Simplify right side
    3,255.63x = 11,348,264.28
  5. Step 5: Solve for x
    x = 11,348,264.28/3,255.63
  6. Step 6: Final answer
    x = 3,485.74

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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.