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Finding the Fourth Proportional to 5,294.06, 7,940.63 and 2,007.18

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Solution

The fourth proportional to 5,294.06, 7,940.63 and 2,007.18 is: 3,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.06 : 7,940.63 = 2,007.18 : x
  2. Step 2: Convert to fraction form
    5,294.06/7,940.63 = 2,007.18/x
  3. Step 3: Cross multiply
    5,294.06x = 7,940.63 × 2,007.18
  4. Step 4: Simplify right side
    5,294.06x = 15,938,263.69
  5. Step 5: Solve for x
    x = 15,938,263.69/5,294.06
  6. Step 6: Final answer
    x = 3,010.60

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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.