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Finding the Fourth Proportional to 3,233.70, 4,521.71 and 3,233.70

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Solution

The fourth proportional to 3,233.70, 4,521.71 and 3,233.70 is: 4,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.70 : 4,521.71 = 3,233.70 : x
  2. Step 2: Convert to fraction form
    3,233.70/4,521.71 = 3,233.70/x
  3. Step 3: Cross multiply
    3,233.70x = 4,521.71 × 3,233.70
  4. Step 4: Simplify right side
    3,233.70x = 14,621,861.71
  5. Step 5: Solve for x
    x = 14,621,861.71/3,233.70
  6. Step 6: Final answer
    x = 4,521.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.