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Finding the Fourth Proportional to 3,838.70, 5,756.14 and 1,989.32

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Solution

The fourth proportional to 3,838.70, 5,756.14 and 1,989.32 is: 2,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.70 : 5,756.14 = 1,989.32 : x
  2. Step 2: Convert to fraction form
    3,838.70/5,756.14 = 1,989.32/x
  3. Step 3: Cross multiply
    3,838.70x = 5,756.14 × 1,989.32
  4. Step 4: Simplify right side
    3,838.70x = 11,450,804.42
  5. Step 5: Solve for x
    x = 11,450,804.42/3,838.70
  6. Step 6: Final answer
    x = 2,982.99

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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.