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Finding the Fourth Proportional to 4,144.33, 6,216.58 and 1,066.33

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Solution

The fourth proportional to 4,144.33, 6,216.58 and 1,066.33 is: 1,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.33 : 6,216.58 = 1,066.33 : x
  2. Step 2: Convert to fraction form
    4,144.33/6,216.58 = 1,066.33/x
  3. Step 3: Cross multiply
    4,144.33x = 6,216.58 × 1,066.33
  4. Step 4: Simplify right side
    4,144.33x = 6,628,894.67
  5. Step 5: Solve for x
    x = 6,628,894.67/4,144.33
  6. Step 6: Final answer
    x = 1,599.51

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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.