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Finding the Fourth Proportional to 3,444, 5,166.90 and 1,135.50

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Solution

The fourth proportional to 3,444, 5,166.90 and 1,135.50 is: 1,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444 : 5,166.90 = 1,135.50 : x
  2. Step 2: Convert to fraction form
    3,444/5,166.90 = 1,135.50/x
  3. Step 3: Cross multiply
    3,444x = 5,166.90 × 1,135.50
  4. Step 4: Simplify right side
    3,444x = 5,867,014.95
  5. Step 5: Solve for x
    x = 5,867,014.95/3,444
  6. Step 6: Final answer
    x = 1,703.55

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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.