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Finding the Fourth Proportional to 3,644.70, 5,024.82 and 3,146.28

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Solution

The fourth proportional to 3,644.70, 5,024.82 and 3,146.28 is: 4,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.70 : 5,024.82 = 3,146.28 : x
  2. Step 2: Convert to fraction form
    3,644.70/5,024.82 = 3,146.28/x
  3. Step 3: Cross multiply
    3,644.70x = 5,024.82 × 3,146.28
  4. Step 4: Simplify right side
    3,644.70x = 15,809,490.67
  5. Step 5: Solve for x
    x = 15,809,490.67/3,644.70
  6. Step 6: Final answer
    x = 4,337.67

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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.