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Finding the Fourth Proportional to 4,197.76, 5,785.99 and 3,076.92

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Solution

The fourth proportional to 4,197.76, 5,785.99 and 3,076.92 is: 4,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.76 : 5,785.99 = 3,076.92 : x
  2. Step 2: Convert to fraction form
    4,197.76/5,785.99 = 3,076.92/x
  3. Step 3: Cross multiply
    4,197.76x = 5,785.99 × 3,076.92
  4. Step 4: Simplify right side
    4,197.76x = 17,803,028.35
  5. Step 5: Solve for x
    x = 17,803,028.35/4,197.76
  6. Step 6: Final answer
    x = 4,241.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.