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Finding the Fourth Proportional to 4,383, 6,049.10 and 2,894.02

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Solution

The fourth proportional to 4,383, 6,049.10 and 2,894.02 is: 3,994.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383 : 6,049.10 = 2,894.02 : x
  2. Step 2: Convert to fraction form
    4,383/6,049.10 = 2,894.02/x
  3. Step 3: Cross multiply
    4,383x = 6,049.10 × 2,894.02
  4. Step 4: Simplify right side
    4,383x = 17,506,208.49
  5. Step 5: Solve for x
    x = 17,506,208.49/4,383
  6. Step 6: Final answer
    x = 3,994.12

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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.