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Finding the Fourth Proportional to 5,269.84, 7,270.12 and 3,698.96

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Solution

The fourth proportional to 5,269.84, 7,270.12 and 3,698.96 is: 5,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.84 : 7,270.12 = 3,698.96 : x
  2. Step 2: Convert to fraction form
    5,269.84/7,270.12 = 3,698.96/x
  3. Step 3: Cross multiply
    5,269.84x = 7,270.12 × 3,698.96
  4. Step 4: Simplify right side
    5,269.84x = 26,891,883.08
  5. Step 5: Solve for x
    x = 26,891,883.08/5,269.84
  6. Step 6: Final answer
    x = 5,102.98

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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.