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Finding the Fourth Proportional to 3,644.58, 5,020.74 and 2,898.30

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Solution

The fourth proportional to 3,644.58, 5,020.74 and 2,898.30 is: 3,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.58 : 5,020.74 = 2,898.30 : x
  2. Step 2: Convert to fraction form
    3,644.58/5,020.74 = 2,898.30/x
  3. Step 3: Cross multiply
    3,644.58x = 5,020.74 × 2,898.30
  4. Step 4: Simplify right side
    3,644.58x = 14,551,610.74
  5. Step 5: Solve for x
    x = 14,551,610.74/3,644.58
  6. Step 6: Final answer
    x = 3,992.67

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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.