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Finding the Fourth Proportional to 5,133.15, 7,697.43 and 1,622.16

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Solution

The fourth proportional to 5,133.15, 7,697.43 and 1,622.16 is: 2,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.15 : 7,697.43 = 1,622.16 : x
  2. Step 2: Convert to fraction form
    5,133.15/7,697.43 = 1,622.16/x
  3. Step 3: Cross multiply
    5,133.15x = 7,697.43 × 1,622.16
  4. Step 4: Simplify right side
    5,133.15x = 12,486,463.05
  5. Step 5: Solve for x
    x = 12,486,463.05/5,133.15
  6. Step 6: Final answer
    x = 2,432.51

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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.