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Finding the Fourth Proportional to 3,977.94, 5,488.68 and 2,406

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Solution

The fourth proportional to 3,977.94, 5,488.68 and 2,406 is: 3,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.94 : 5,488.68 = 2,406 : x
  2. Step 2: Convert to fraction form
    3,977.94/5,488.68 = 2,406/x
  3. Step 3: Cross multiply
    3,977.94x = 5,488.68 × 2,406
  4. Step 4: Simplify right side
    3,977.94x = 13,205,764.08
  5. Step 5: Solve for x
    x = 13,205,764.08/3,977.94
  6. Step 6: Final answer
    x = 3,319.75

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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.