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Finding the Fourth Proportional to 5,686.47, 7,847.62 and 3,448.44

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Solution

The fourth proportional to 5,686.47, 7,847.62 and 3,448.44 is: 4,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.47 : 7,847.62 = 3,448.44 : x
  2. Step 2: Convert to fraction form
    5,686.47/7,847.62 = 3,448.44/x
  3. Step 3: Cross multiply
    5,686.47x = 7,847.62 × 3,448.44
  4. Step 4: Simplify right side
    5,686.47x = 27,062,038.09
  5. Step 5: Solve for x
    x = 27,062,038.09/5,686.47
  6. Step 6: Final answer
    x = 4,759.02

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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.