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Finding the Fourth Proportional to 3,881.60, 5,356.20 and 2,309.48

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Solution

The fourth proportional to 3,881.60, 5,356.20 and 2,309.48 is: 3,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.60 : 5,356.20 = 2,309.48 : x
  2. Step 2: Convert to fraction form
    3,881.60/5,356.20 = 2,309.48/x
  3. Step 3: Cross multiply
    3,881.60x = 5,356.20 × 2,309.48
  4. Step 4: Simplify right side
    3,881.60x = 12,370,036.78
  5. Step 5: Solve for x
    x = 12,370,036.78/3,881.60
  6. Step 6: Final answer
    x = 3,186.84

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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.