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Finding the Fourth Proportional to 3,669.84, 5,063.85 and 2,177.82

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Solution

The fourth proportional to 3,669.84, 5,063.85 and 2,177.82 is: 3,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.84 : 5,063.85 = 2,177.82 : x
  2. Step 2: Convert to fraction form
    3,669.84/5,063.85 = 2,177.82/x
  3. Step 3: Cross multiply
    3,669.84x = 5,063.85 × 2,177.82
  4. Step 4: Simplify right side
    3,669.84x = 11,028,153.81
  5. Step 5: Solve for x
    x = 11,028,153.81/3,669.84
  6. Step 6: Final answer
    x = 3,005.08

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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.