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Finding the Fourth Proportional to 5,643.64, 8,468.66 and 3,046.52

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Solution

The fourth proportional to 5,643.64, 8,468.66 and 3,046.52 is: 4,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.64 : 8,468.66 = 3,046.52 : x
  2. Step 2: Convert to fraction form
    5,643.64/8,468.66 = 3,046.52/x
  3. Step 3: Cross multiply
    5,643.64x = 8,468.66 × 3,046.52
  4. Step 4: Simplify right side
    5,643.64x = 25,799,942.06
  5. Step 5: Solve for x
    x = 25,799,942.06/5,643.64
  6. Step 6: Final answer
    x = 4,571.51

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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.