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Finding the Fourth Proportional to 4,699.83, 7,034.87 and 3,306.71

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Solution

The fourth proportional to 4,699.83, 7,034.87 and 3,306.71 is: 4,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.83 : 7,034.87 = 3,306.71 : x
  2. Step 2: Convert to fraction form
    4,699.83/7,034.87 = 3,306.71/x
  3. Step 3: Cross multiply
    4,699.83x = 7,034.87 × 3,306.71
  4. Step 4: Simplify right side
    4,699.83x = 23,262,258.44
  5. Step 5: Solve for x
    x = 23,262,258.44/4,699.83
  6. Step 6: Final answer
    x = 4,949.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.