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Finding the Fourth Proportional to 5,977.57, 8,947.86 and 5,091.84

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Solution

The fourth proportional to 5,977.57, 8,947.86 and 5,091.84 is: 7,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.57 : 8,947.86 = 5,091.84 : x
  2. Step 2: Convert to fraction form
    5,977.57/8,947.86 = 5,091.84/x
  3. Step 3: Cross multiply
    5,977.57x = 8,947.86 × 5,091.84
  4. Step 4: Simplify right side
    5,977.57x = 45,561,071.46
  5. Step 5: Solve for x
    x = 45,561,071.46/5,977.57
  6. Step 6: Final answer
    x = 7,622.01

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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.