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Finding the Fourth Proportional to 3,557.84, 4,908.44 and 2,161.04

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Solution

The fourth proportional to 3,557.84, 4,908.44 and 2,161.04 is: 2,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.84 : 4,908.44 = 2,161.04 : x
  2. Step 2: Convert to fraction form
    3,557.84/4,908.44 = 2,161.04/x
  3. Step 3: Cross multiply
    3,557.84x = 4,908.44 × 2,161.04
  4. Step 4: Simplify right side
    3,557.84x = 10,607,335.18
  5. Step 5: Solve for x
    x = 10,607,335.18/3,557.84
  6. Step 6: Final answer
    x = 2,981.40

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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.