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Finding the Fourth Proportional to 5,174.36, 7,139.52 and 3,078.08

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Solution

The fourth proportional to 5,174.36, 7,139.52 and 3,078.08 is: 4,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.36 : 7,139.52 = 3,078.08 : x
  2. Step 2: Convert to fraction form
    5,174.36/7,139.52 = 3,078.08/x
  3. Step 3: Cross multiply
    5,174.36x = 7,139.52 × 3,078.08
  4. Step 4: Simplify right side
    5,174.36x = 21,976,013.72
  5. Step 5: Solve for x
    x = 21,976,013.72/5,174.36
  6. Step 6: Final answer
    x = 4,247.10

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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.