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Finding the Fourth Proportional to 5,187.64, 7,782.61 and 1,489.59

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Solution

The fourth proportional to 5,187.64, 7,782.61 and 1,489.59 is: 2,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.64 : 7,782.61 = 1,489.59 : x
  2. Step 2: Convert to fraction form
    5,187.64/7,782.61 = 1,489.59/x
  3. Step 3: Cross multiply
    5,187.64x = 7,782.61 × 1,489.59
  4. Step 4: Simplify right side
    5,187.64x = 11,592,870.71
  5. Step 5: Solve for x
    x = 11,592,870.71/5,187.64
  6. Step 6: Final answer
    x = 2,234.71

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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.