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Finding the Fourth Proportional to 3,645.57, 5,032.62 and 2,472.83

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Solution

The fourth proportional to 3,645.57, 5,032.62 and 2,472.83 is: 3,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.57 : 5,032.62 = 2,472.83 : x
  2. Step 2: Convert to fraction form
    3,645.57/5,032.62 = 2,472.83/x
  3. Step 3: Cross multiply
    3,645.57x = 5,032.62 × 2,472.83
  4. Step 4: Simplify right side
    3,645.57x = 12,444,788.55
  5. Step 5: Solve for x
    x = 12,444,788.55/3,645.57
  6. Step 6: Final answer
    x = 3,413.67

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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.