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Finding the Fourth Proportional to 4,920.90, 7,384.38 and 2,845

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Solution

The fourth proportional to 4,920.90, 7,384.38 and 2,845 is: 4,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.90 : 7,384.38 = 2,845 : x
  2. Step 2: Convert to fraction form
    4,920.90/7,384.38 = 2,845/x
  3. Step 3: Cross multiply
    4,920.90x = 7,384.38 × 2,845
  4. Step 4: Simplify right side
    4,920.90x = 21,008,561.10
  5. Step 5: Solve for x
    x = 21,008,561.10/4,920.90
  6. Step 6: Final answer
    x = 4,269.25

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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.