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Finding the Fourth Proportional to 4,948.69, 6,828.78 and 2,824.30

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Solution

The fourth proportional to 4,948.69, 6,828.78 and 2,824.30 is: 3,897.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.69 : 6,828.78 = 2,824.30 : x
  2. Step 2: Convert to fraction form
    4,948.69/6,828.78 = 2,824.30/x
  3. Step 3: Cross multiply
    4,948.69x = 6,828.78 × 2,824.30
  4. Step 4: Simplify right side
    4,948.69x = 19,286,523.35
  5. Step 5: Solve for x
    x = 19,286,523.35/4,948.69
  6. Step 6: Final answer
    x = 3,897.30

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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.