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Finding the Fourth Proportional to 4,229, 5,836.02 and 2,366

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Solution

The fourth proportional to 4,229, 5,836.02 and 2,366 is: 3,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229 : 5,836.02 = 2,366 : x
  2. Step 2: Convert to fraction form
    4,229/5,836.02 = 2,366/x
  3. Step 3: Cross multiply
    4,229x = 5,836.02 × 2,366
  4. Step 4: Simplify right side
    4,229x = 13,808,023.32
  5. Step 5: Solve for x
    x = 13,808,023.32/4,229
  6. Step 6: Final answer
    x = 3,265.08

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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.