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Finding the Fourth Proportional to 3,477.92, 5,218.08 and 2,177.84

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Solution

The fourth proportional to 3,477.92, 5,218.08 and 2,177.84 is: 3,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.92 : 5,218.08 = 2,177.84 : x
  2. Step 2: Convert to fraction form
    3,477.92/5,218.08 = 2,177.84/x
  3. Step 3: Cross multiply
    3,477.92x = 5,218.08 × 2,177.84
  4. Step 4: Simplify right side
    3,477.92x = 11,364,143.35
  5. Step 5: Solve for x
    x = 11,364,143.35/3,477.92
  6. Step 6: Final answer
    x = 3,267.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.