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Finding the Fourth Proportional to 4,853.97, 7,284.60 and 1,930.68

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Solution

The fourth proportional to 4,853.97, 7,284.60 and 1,930.68 is: 2,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.97 : 7,284.60 = 1,930.68 : x
  2. Step 2: Convert to fraction form
    4,853.97/7,284.60 = 1,930.68/x
  3. Step 3: Cross multiply
    4,853.97x = 7,284.60 × 1,930.68
  4. Step 4: Simplify right side
    4,853.97x = 14,064,231.53
  5. Step 5: Solve for x
    x = 14,064,231.53/4,853.97
  6. Step 6: Final answer
    x = 2,897.47

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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.