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Finding the Fourth Proportional to 5,089.66, 7,022.92 and 3,100.84

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Solution

The fourth proportional to 5,089.66, 7,022.92 and 3,100.84 is: 4,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.66 : 7,022.92 = 3,100.84 : x
  2. Step 2: Convert to fraction form
    5,089.66/7,022.92 = 3,100.84/x
  3. Step 3: Cross multiply
    5,089.66x = 7,022.92 × 3,100.84
  4. Step 4: Simplify right side
    5,089.66x = 21,776,961.06
  5. Step 5: Solve for x
    x = 21,776,961.06/5,089.66
  6. Step 6: Final answer
    x = 4,278.67

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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.