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Finding the Fourth Proportional to 4,174.92, 6,271.42 and 2,713.32

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Solution

The fourth proportional to 4,174.92, 6,271.42 and 2,713.32 is: 4,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.92 : 6,271.42 = 2,713.32 : x
  2. Step 2: Convert to fraction form
    4,174.92/6,271.42 = 2,713.32/x
  3. Step 3: Cross multiply
    4,174.92x = 6,271.42 × 2,713.32
  4. Step 4: Simplify right side
    4,174.92x = 17,016,369.31
  5. Step 5: Solve for x
    x = 17,016,369.31/4,174.92
  6. Step 6: Final answer
    x = 4,075.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.