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Finding the Fourth Proportional to 5,695.70, 8,524.35 and 5,234.90

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Solution

The fourth proportional to 5,695.70, 8,524.35 and 5,234.90 is: 7,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.70 : 8,524.35 = 5,234.90 : x
  2. Step 2: Convert to fraction form
    5,695.70/8,524.35 = 5,234.90/x
  3. Step 3: Cross multiply
    5,695.70x = 8,524.35 × 5,234.90
  4. Step 4: Simplify right side
    5,695.70x = 44,624,119.82
  5. Step 5: Solve for x
    x = 44,624,119.82/5,695.70
  6. Step 6: Final answer
    x = 7,834.70

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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.