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Finding the Fourth Proportional to 5,686.23, 7,847.56 and 3,449.69

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Solution

The fourth proportional to 5,686.23, 7,847.56 and 3,449.69 is: 4,760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.23 : 7,847.56 = 3,449.69 : x
  2. Step 2: Convert to fraction form
    5,686.23/7,847.56 = 3,449.69/x
  3. Step 3: Cross multiply
    5,686.23x = 7,847.56 × 3,449.69
  4. Step 4: Simplify right side
    5,686.23x = 27,071,649.26
  5. Step 5: Solve for x
    x = 27,071,649.26/5,686.23
  6. Step 6: Final answer
    x = 4,760.91

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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.