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Finding the Fourth Proportional to 3,902.80, 5,384.64 and 2,409.16

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Solution

The fourth proportional to 3,902.80, 5,384.64 and 2,409.16 is: 3,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.80 : 5,384.64 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    3,902.80/5,384.64 = 2,409.16/x
  3. Step 3: Cross multiply
    3,902.80x = 5,384.64 × 2,409.16
  4. Step 4: Simplify right side
    3,902.80x = 12,972,459.30
  5. Step 5: Solve for x
    x = 12,972,459.30/3,902.80
  6. Step 6: Final answer
    x = 3,323.89

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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.