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Finding the Fourth Proportional to 4,289, 5,919.64 and 2,426

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Solution

The fourth proportional to 4,289, 5,919.64 and 2,426 is: 3,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289 : 5,919.64 = 2,426 : x
  2. Step 2: Convert to fraction form
    4,289/5,919.64 = 2,426/x
  3. Step 3: Cross multiply
    4,289x = 5,919.64 × 2,426
  4. Step 4: Simplify right side
    4,289x = 14,361,046.64
  5. Step 5: Solve for x
    x = 14,361,046.64/4,289
  6. Step 6: Final answer
    x = 3,348.34

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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.