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Finding the Fourth Proportional to 5,180.09, 7,763.90 and 1,891.40

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Solution

The fourth proportional to 5,180.09, 7,763.90 and 1,891.40 is: 2,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.09 : 7,763.90 = 1,891.40 : x
  2. Step 2: Convert to fraction form
    5,180.09/7,763.90 = 1,891.40/x
  3. Step 3: Cross multiply
    5,180.09x = 7,763.90 × 1,891.40
  4. Step 4: Simplify right side
    5,180.09x = 14,684,592.18
  5. Step 5: Solve for x
    x = 14,684,592.18/5,180.09
  6. Step 6: Final answer
    x = 2,834.82

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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.