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Finding the Fourth Proportional to 5,651.30, 7,801.52 and 3,974.16

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Solution

The fourth proportional to 5,651.30, 7,801.52 and 3,974.16 is: 5,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.30 : 7,801.52 = 3,974.16 : x
  2. Step 2: Convert to fraction form
    5,651.30/7,801.52 = 3,974.16/x
  3. Step 3: Cross multiply
    5,651.30x = 7,801.52 × 3,974.16
  4. Step 4: Simplify right side
    5,651.30x = 31,004,488.72
  5. Step 5: Solve for x
    x = 31,004,488.72/5,651.30
  6. Step 6: Final answer
    x = 5,486.26

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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.