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Finding the Fourth Proportional to 3,827.16, 5,279.04 and 2,409.48

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Solution

The fourth proportional to 3,827.16, 5,279.04 and 2,409.48 is: 3,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.16 : 5,279.04 = 2,409.48 : x
  2. Step 2: Convert to fraction form
    3,827.16/5,279.04 = 2,409.48/x
  3. Step 3: Cross multiply
    3,827.16x = 5,279.04 × 2,409.48
  4. Step 4: Simplify right side
    3,827.16x = 12,719,741.30
  5. Step 5: Solve for x
    x = 12,719,741.30/3,827.16
  6. Step 6: Final answer
    x = 3,323.55

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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.