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Finding the Fourth Proportional to 4,778, 6,593.66 and 2,682.16

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Solution

The fourth proportional to 4,778, 6,593.66 and 2,682.16 is: 3,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778 : 6,593.66 = 2,682.16 : x
  2. Step 2: Convert to fraction form
    4,778/6,593.66 = 2,682.16/x
  3. Step 3: Cross multiply
    4,778x = 6,593.66 × 2,682.16
  4. Step 4: Simplify right side
    4,778x = 17,685,251.11
  5. Step 5: Solve for x
    x = 17,685,251.11/4,778
  6. Step 6: Final answer
    x = 3,701.39

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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.