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Finding the Fourth Proportional to 5,218.76, 7,198.08 and 3,802.88

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Solution

The fourth proportional to 5,218.76, 7,198.08 and 3,802.88 is: 5,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.76 : 7,198.08 = 3,802.88 : x
  2. Step 2: Convert to fraction form
    5,218.76/7,198.08 = 3,802.88/x
  3. Step 3: Cross multiply
    5,218.76x = 7,198.08 × 3,802.88
  4. Step 4: Simplify right side
    5,218.76x = 27,373,434.47
  5. Step 5: Solve for x
    x = 27,373,434.47/5,218.76
  6. Step 6: Final answer
    x = 5,245.20

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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.