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Finding the Fourth Proportional to 5,903.67, 8,856.46 and 1,744.10

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Solution

The fourth proportional to 5,903.67, 8,856.46 and 1,744.10 is: 2,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.67 : 8,856.46 = 1,744.10 : x
  2. Step 2: Convert to fraction form
    5,903.67/8,856.46 = 1,744.10/x
  3. Step 3: Cross multiply
    5,903.67x = 8,856.46 × 1,744.10
  4. Step 4: Simplify right side
    5,903.67x = 15,446,551.89
  5. Step 5: Solve for x
    x = 15,446,551.89/5,903.67
  6. Step 6: Final answer
    x = 2,616.43

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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.