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Finding the Fourth Proportional to 4,948.84, 6,830.17 and 2,824.37

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Solution

The fourth proportional to 4,948.84, 6,830.17 and 2,824.37 is: 3,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.84 : 6,830.17 = 2,824.37 : x
  2. Step 2: Convert to fraction form
    4,948.84/6,830.17 = 2,824.37/x
  3. Step 3: Cross multiply
    4,948.84x = 6,830.17 × 2,824.37
  4. Step 4: Simplify right side
    4,948.84x = 19,290,886.03
  5. Step 5: Solve for x
    x = 19,290,886.03/4,948.84
  6. Step 6: Final answer
    x = 3,898.06

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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.