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Finding the Fourth Proportional to 3,980.08, 5,494.80 and 2,658.16

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Solution

The fourth proportional to 3,980.08, 5,494.80 and 2,658.16 is: 3,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.08 : 5,494.80 = 2,658.16 : x
  2. Step 2: Convert to fraction form
    3,980.08/5,494.80 = 2,658.16/x
  3. Step 3: Cross multiply
    3,980.08x = 5,494.80 × 2,658.16
  4. Step 4: Simplify right side
    3,980.08x = 14,606,057.57
  5. Step 5: Solve for x
    x = 14,606,057.57/3,980.08
  6. Step 6: Final answer
    x = 3,669.79

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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.