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Finding the Fourth Proportional to 3,902.13, 5,384.96 and 2,409.71

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Solution

The fourth proportional to 3,902.13, 5,384.96 and 2,409.71 is: 3,325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.13 : 5,384.96 = 2,409.71 : x
  2. Step 2: Convert to fraction form
    3,902.13/5,384.96 = 2,409.71/x
  3. Step 3: Cross multiply
    3,902.13x = 5,384.96 × 2,409.71
  4. Step 4: Simplify right side
    3,902.13x = 12,976,152.99
  5. Step 5: Solve for x
    x = 12,976,152.99/3,902.13
  6. Step 6: Final answer
    x = 3,325.40

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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.