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Finding the Fourth Proportional to 6,145.16, 9,219.70 and 2,589.16

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Solution

The fourth proportional to 6,145.16, 9,219.70 and 2,589.16 is: 3,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.16 : 9,219.70 = 2,589.16 : x
  2. Step 2: Convert to fraction form
    6,145.16/9,219.70 = 2,589.16/x
  3. Step 3: Cross multiply
    6,145.16x = 9,219.70 × 2,589.16
  4. Step 4: Simplify right side
    6,145.16x = 23,871,248.93
  5. Step 5: Solve for x
    x = 23,871,248.93/6,145.16
  6. Step 6: Final answer
    x = 3,884.56

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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.