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Finding the Fourth Proportional to 4,134.76, 6,199.71 and 1,669.66

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Solution

The fourth proportional to 4,134.76, 6,199.71 and 1,669.66 is: 2,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.76 : 6,199.71 = 1,669.66 : x
  2. Step 2: Convert to fraction form
    4,134.76/6,199.71 = 1,669.66/x
  3. Step 3: Cross multiply
    4,134.76x = 6,199.71 × 1,669.66
  4. Step 4: Simplify right side
    4,134.76x = 10,351,407.80
  5. Step 5: Solve for x
    x = 10,351,407.80/4,134.76
  6. Step 6: Final answer
    x = 2,503.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.