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Finding the Fourth Proportional to 4,246, 5,859.48 and 2,383

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Solution

The fourth proportional to 4,246, 5,859.48 and 2,383 is: 3,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246 : 5,859.48 = 2,383 : x
  2. Step 2: Convert to fraction form
    4,246/5,859.48 = 2,383/x
  3. Step 3: Cross multiply
    4,246x = 5,859.48 × 2,383
  4. Step 4: Simplify right side
    4,246x = 13,963,140.84
  5. Step 5: Solve for x
    x = 13,963,140.84/4,246
  6. Step 6: Final answer
    x = 3,288.54

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Why These Related Problems?

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