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Finding the Fourth Proportional to 5,298.42, 7,947.50 and 2,527.05

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Solution

The fourth proportional to 5,298.42, 7,947.50 and 2,527.05 is: 3,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.42 : 7,947.50 = 2,527.05 : x
  2. Step 2: Convert to fraction form
    5,298.42/7,947.50 = 2,527.05/x
  3. Step 3: Cross multiply
    5,298.42x = 7,947.50 × 2,527.05
  4. Step 4: Simplify right side
    5,298.42x = 20,083,717.24
  5. Step 5: Solve for x
    x = 20,083,717.24/5,298.42
  6. Step 6: Final answer
    x = 3,790.51

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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.