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Finding the Fourth Proportional to 3,838.84, 5,757.68 and 1,065.22

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Solution

The fourth proportional to 3,838.84, 5,757.68 and 1,065.22 is: 1,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.84 : 5,757.68 = 1,065.22 : x
  2. Step 2: Convert to fraction form
    3,838.84/5,757.68 = 1,065.22/x
  3. Step 3: Cross multiply
    3,838.84x = 5,757.68 × 1,065.22
  4. Step 4: Simplify right side
    3,838.84x = 6,133,184.16
  5. Step 5: Solve for x
    x = 6,133,184.16/3,838.84
  6. Step 6: Final answer
    x = 1,597.67

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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.