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Finding the Fourth Proportional to 3,667.64, 5,061.72 and 2,409.72

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Solution

The fourth proportional to 3,667.64, 5,061.72 and 2,409.72 is: 3,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.64 : 5,061.72 = 2,409.72 : x
  2. Step 2: Convert to fraction form
    3,667.64/5,061.72 = 2,409.72/x
  3. Step 3: Cross multiply
    3,667.64x = 5,061.72 × 2,409.72
  4. Step 4: Simplify right side
    3,667.64x = 12,197,327.92
  5. Step 5: Solve for x
    x = 12,197,327.92/3,667.64
  6. Step 6: Final answer
    x = 3,325.66

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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.