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Finding the Fourth Proportional to 5,882.18, 8,814.99 and 4,644.14

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Solution

The fourth proportional to 5,882.18, 8,814.99 and 4,644.14 is: 6,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.18 : 8,814.99 = 4,644.14 : x
  2. Step 2: Convert to fraction form
    5,882.18/8,814.99 = 4,644.14/x
  3. Step 3: Cross multiply
    5,882.18x = 8,814.99 × 4,644.14
  4. Step 4: Simplify right side
    5,882.18x = 40,938,047.66
  5. Step 5: Solve for x
    x = 40,938,047.66/5,882.18
  6. Step 6: Final answer
    x = 6,959.67

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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.