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Finding the Fourth Proportional to 5,846.96, 8,774.76 and 4,388.96

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Solution

The fourth proportional to 5,846.96, 8,774.76 and 4,388.96 is: 6,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.96 : 8,774.76 = 4,388.96 : x
  2. Step 2: Convert to fraction form
    5,846.96/8,774.76 = 4,388.96/x
  3. Step 3: Cross multiply
    5,846.96x = 8,774.76 × 4,388.96
  4. Step 4: Simplify right side
    5,846.96x = 38,512,070.65
  5. Step 5: Solve for x
    x = 38,512,070.65/5,846.96
  6. Step 6: Final answer
    x = 6,586.68

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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.