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Finding the Fourth Proportional to 5,617.53, 8,415.02 and 2,797.87

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Solution

The fourth proportional to 5,617.53, 8,415.02 and 2,797.87 is: 4,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.53 : 8,415.02 = 2,797.87 : x
  2. Step 2: Convert to fraction form
    5,617.53/8,415.02 = 2,797.87/x
  3. Step 3: Cross multiply
    5,617.53x = 8,415.02 × 2,797.87
  4. Step 4: Simplify right side
    5,617.53x = 23,544,132.01
  5. Step 5: Solve for x
    x = 23,544,132.01/5,617.53
  6. Step 6: Final answer
    x = 4,191.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.