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Finding the Fourth Proportional to 3,827.61, 5,280.48 and 2,335.32

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Solution

The fourth proportional to 3,827.61, 5,280.48 and 2,335.32 is: 3,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.61 : 5,280.48 = 2,335.32 : x
  2. Step 2: Convert to fraction form
    3,827.61/5,280.48 = 2,335.32/x
  3. Step 3: Cross multiply
    3,827.61x = 5,280.48 × 2,335.32
  4. Step 4: Simplify right side
    3,827.61x = 12,331,610.55
  5. Step 5: Solve for x
    x = 12,331,610.55/3,827.61
  6. Step 6: Final answer
    x = 3,221.75

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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.