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Finding the Fourth Proportional to 5,187.59, 7,782.73 and 1,490.12

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Solution

The fourth proportional to 5,187.59, 7,782.73 and 1,490.12 is: 2,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.59 : 7,782.73 = 1,490.12 : x
  2. Step 2: Convert to fraction form
    5,187.59/7,782.73 = 1,490.12/x
  3. Step 3: Cross multiply
    5,187.59x = 7,782.73 × 1,490.12
  4. Step 4: Simplify right side
    5,187.59x = 11,597,158.99
  5. Step 5: Solve for x
    x = 11,597,158.99/5,187.59
  6. Step 6: Final answer
    x = 2,235.56

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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.