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Finding the Fourth Proportional to 5,618, 7,752.84 and 3,134

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Solution

The fourth proportional to 5,618, 7,752.84 and 3,134 is: 4,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618 : 7,752.84 = 3,134 : x
  2. Step 2: Convert to fraction form
    5,618/7,752.84 = 3,134/x
  3. Step 3: Cross multiply
    5,618x = 7,752.84 × 3,134
  4. Step 4: Simplify right side
    5,618x = 24,297,400.56
  5. Step 5: Solve for x
    x = 24,297,400.56/5,618
  6. Step 6: Final answer
    x = 4,324.92

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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.