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Finding the Fourth Proportional to 5,686.63, 7,847.91 and 3,448.72

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Solution

The fourth proportional to 5,686.63, 7,847.91 and 3,448.72 is: 4,759.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.63 : 7,847.91 = 3,448.72 : x
  2. Step 2: Convert to fraction form
    5,686.63/7,847.91 = 3,448.72/x
  3. Step 3: Cross multiply
    5,686.63x = 7,847.91 × 3,448.72
  4. Step 4: Simplify right side
    5,686.63x = 27,065,244.18
  5. Step 5: Solve for x
    x = 27,065,244.18/5,686.63
  6. Step 6: Final answer
    x = 4,759.45

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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.