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Finding the Fourth Proportional to 3,977.16, 5,488.22 and 2,485

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Solution

The fourth proportional to 3,977.16, 5,488.22 and 2,485 is: 3,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.16 : 5,488.22 = 2,485 : x
  2. Step 2: Convert to fraction form
    3,977.16/5,488.22 = 2,485/x
  3. Step 3: Cross multiply
    3,977.16x = 5,488.22 × 2,485
  4. Step 4: Simplify right side
    3,977.16x = 13,638,226.70
  5. Step 5: Solve for x
    x = 13,638,226.70/3,977.16
  6. Step 6: Final answer
    x = 3,429.14

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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.