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Finding the Fourth Proportional to 5,807, 8,013.12 and 3,449.72

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Solution

The fourth proportional to 5,807, 8,013.12 and 3,449.72 is: 4,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807 : 8,013.12 = 3,449.72 : x
  2. Step 2: Convert to fraction form
    5,807/8,013.12 = 3,449.72/x
  3. Step 3: Cross multiply
    5,807x = 8,013.12 × 3,449.72
  4. Step 4: Simplify right side
    5,807x = 27,643,020.33
  5. Step 5: Solve for x
    x = 27,643,020.33/5,807
  6. Step 6: Final answer
    x = 4,760.29

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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.