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Finding the Fourth Proportional to 3,846.50, 5,770.71 and 1,110.50

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Solution

The fourth proportional to 3,846.50, 5,770.71 and 1,110.50 is: 1,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.50 : 5,770.71 = 1,110.50 : x
  2. Step 2: Convert to fraction form
    3,846.50/5,770.71 = 1,110.50/x
  3. Step 3: Cross multiply
    3,846.50x = 5,770.71 × 1,110.50
  4. Step 4: Simplify right side
    3,846.50x = 6,408,373.46
  5. Step 5: Solve for x
    x = 6,408,373.46/3,846.50
  6. Step 6: Final answer
    x = 1,666.03

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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.