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Finding the Fourth Proportional to 4,564.76, 6,301.14 and 2,678

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Solution

The fourth proportional to 4,564.76, 6,301.14 and 2,678 is: 3,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.76 : 6,301.14 = 2,678 : x
  2. Step 2: Convert to fraction form
    4,564.76/6,301.14 = 2,678/x
  3. Step 3: Cross multiply
    4,564.76x = 6,301.14 × 2,678
  4. Step 4: Simplify right side
    4,564.76x = 16,874,452.92
  5. Step 5: Solve for x
    x = 16,874,452.92/4,564.76
  6. Step 6: Final answer
    x = 3,696.68

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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.