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Finding the Fourth Proportional to 5,714.74, 8,586.49 and 3,635.67

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Solution

The fourth proportional to 5,714.74, 8,586.49 and 3,635.67 is: 5,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.74 : 8,586.49 = 3,635.67 : x
  2. Step 2: Convert to fraction form
    5,714.74/8,586.49 = 3,635.67/x
  3. Step 3: Cross multiply
    5,714.74x = 8,586.49 × 3,635.67
  4. Step 4: Simplify right side
    5,714.74x = 31,217,644.10
  5. Step 5: Solve for x
    x = 31,217,644.10/5,714.74
  6. Step 6: Final answer
    x = 5,462.65

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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.