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Finding the Fourth Proportional to 5,476.32, 8,198.64 and 4,858.80

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Solution

The fourth proportional to 5,476.32, 8,198.64 and 4,858.80 is: 7,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.32 : 8,198.64 = 4,858.80 : x
  2. Step 2: Convert to fraction form
    5,476.32/8,198.64 = 4,858.80/x
  3. Step 3: Cross multiply
    5,476.32x = 8,198.64 × 4,858.80
  4. Step 4: Simplify right side
    5,476.32x = 39,835,552.03
  5. Step 5: Solve for x
    x = 39,835,552.03/5,476.32
  6. Step 6: Final answer
    x = 7,274.15

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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.