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Finding the Fourth Proportional to 5,187.80, 7,782.13 and 2,186.71

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Solution

The fourth proportional to 5,187.80, 7,782.13 and 2,186.71 is: 3,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.80 : 7,782.13 = 2,186.71 : x
  2. Step 2: Convert to fraction form
    5,187.80/7,782.13 = 2,186.71/x
  3. Step 3: Cross multiply
    5,187.80x = 7,782.13 × 2,186.71
  4. Step 4: Simplify right side
    5,187.80x = 17,017,250.24
  5. Step 5: Solve for x
    x = 17,017,250.24/5,187.80
  6. Step 6: Final answer
    x = 3,280.24

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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.