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Finding the Fourth Proportional to 5,187.71, 7,782.89 and 1,490.20

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Solution

The fourth proportional to 5,187.71, 7,782.89 and 1,490.20 is: 2,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.71 : 7,782.89 = 1,490.20 : x
  2. Step 2: Convert to fraction form
    5,187.71/7,782.89 = 1,490.20/x
  3. Step 3: Cross multiply
    5,187.71x = 7,782.89 × 1,490.20
  4. Step 4: Simplify right side
    5,187.71x = 11,598,035.77
  5. Step 5: Solve for x
    x = 11,598,035.77/5,187.71
  6. Step 6: Final answer
    x = 2,235.67

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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.