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Finding the Fourth Proportional to 3,572.34, 5,358.63 and 3,166.53

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Solution

The fourth proportional to 3,572.34, 5,358.63 and 3,166.53 is: 4,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.34 : 5,358.63 = 3,166.53 : x
  2. Step 2: Convert to fraction form
    3,572.34/5,358.63 = 3,166.53/x
  3. Step 3: Cross multiply
    3,572.34x = 5,358.63 × 3,166.53
  4. Step 4: Simplify right side
    3,572.34x = 16,968,262.65
  5. Step 5: Solve for x
    x = 16,968,262.65/3,572.34
  6. Step 6: Final answer
    x = 4,749.90

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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.