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Finding the Fourth Proportional to 3,981.84, 5,494.95 and 2,409.54

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Solution

The fourth proportional to 3,981.84, 5,494.95 and 2,409.54 is: 3,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.84 : 5,494.95 = 2,409.54 : x
  2. Step 2: Convert to fraction form
    3,981.84/5,494.95 = 2,409.54/x
  3. Step 3: Cross multiply
    3,981.84x = 5,494.95 × 2,409.54
  4. Step 4: Simplify right side
    3,981.84x = 13,240,301.82
  5. Step 5: Solve for x
    x = 13,240,301.82/3,981.84
  6. Step 6: Final answer
    x = 3,325.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.