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Finding the Fourth Proportional to 5,188.75, 7,782.29 and 1,490.14

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Solution

The fourth proportional to 5,188.75, 7,782.29 and 1,490.14 is: 2,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.75 : 7,782.29 = 1,490.14 : x
  2. Step 2: Convert to fraction form
    5,188.75/7,782.29 = 1,490.14/x
  3. Step 3: Cross multiply
    5,188.75x = 7,782.29 × 1,490.14
  4. Step 4: Simplify right side
    5,188.75x = 11,596,682.13
  5. Step 5: Solve for x
    x = 11,596,682.13/5,188.75
  6. Step 6: Final answer
    x = 2,234.97

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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.