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Finding the Fourth Proportional to 3,667.60, 5,504.10 and 2,282.95

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Solution

The fourth proportional to 3,667.60, 5,504.10 and 2,282.95 is: 3,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.60 : 5,504.10 = 2,282.95 : x
  2. Step 2: Convert to fraction form
    3,667.60/5,504.10 = 2,282.95/x
  3. Step 3: Cross multiply
    3,667.60x = 5,504.10 × 2,282.95
  4. Step 4: Simplify right side
    3,667.60x = 12,565,585.10
  5. Step 5: Solve for x
    x = 12,565,585.10/3,667.60
  6. Step 6: Final answer
    x = 3,426.11

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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.