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Finding the Fourth Proportional to 4,252, 5,867.76 and 2,389

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Solution

The fourth proportional to 4,252, 5,867.76 and 2,389 is: 3,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252 : 5,867.76 = 2,389 : x
  2. Step 2: Convert to fraction form
    4,252/5,867.76 = 2,389/x
  3. Step 3: Cross multiply
    4,252x = 5,867.76 × 2,389
  4. Step 4: Simplify right side
    4,252x = 14,018,078.64
  5. Step 5: Solve for x
    x = 14,018,078.64/4,252
  6. Step 6: Final answer
    x = 3,296.82

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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.