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Finding the Fourth Proportional to 5,444, 8,166.04 and 1,340

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Solution

The fourth proportional to 5,444, 8,166.04 and 1,340 is: 2,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444 : 8,166.04 = 1,340 : x
  2. Step 2: Convert to fraction form
    5,444/8,166.04 = 1,340/x
  3. Step 3: Cross multiply
    5,444x = 8,166.04 × 1,340
  4. Step 4: Simplify right side
    5,444x = 10,942,493.60
  5. Step 5: Solve for x
    x = 10,942,493.60/5,444
  6. Step 6: Final answer
    x = 2,010.01

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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.