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Finding the Fourth Proportional to 5,586.30, 7,709.19 and 3,068.67

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Solution

The fourth proportional to 5,586.30, 7,709.19 and 3,068.67 is: 4,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.30 : 7,709.19 = 3,068.67 : x
  2. Step 2: Convert to fraction form
    5,586.30/7,709.19 = 3,068.67/x
  3. Step 3: Cross multiply
    5,586.30x = 7,709.19 × 3,068.67
  4. Step 4: Simplify right side
    5,586.30x = 23,656,960.08
  5. Step 5: Solve for x
    x = 23,656,960.08/5,586.30
  6. Step 6: Final answer
    x = 4,234.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.