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Finding the Fourth Proportional to 3,395.42, 5,089.88 and 2,159

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Solution

The fourth proportional to 3,395.42, 5,089.88 and 2,159 is: 3,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.42 : 5,089.88 = 2,159 : x
  2. Step 2: Convert to fraction form
    3,395.42/5,089.88 = 2,159/x
  3. Step 3: Cross multiply
    3,395.42x = 5,089.88 × 2,159
  4. Step 4: Simplify right side
    3,395.42x = 10,989,050.92
  5. Step 5: Solve for x
    x = 10,989,050.92/3,395.42
  6. Step 6: Final answer
    x = 3,236.43

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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.