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Finding the Fourth Proportional to 4,385.57, 6,573.17 and 1,610.43

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Solution

The fourth proportional to 4,385.57, 6,573.17 and 1,610.43 is: 2,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.57 : 6,573.17 = 1,610.43 : x
  2. Step 2: Convert to fraction form
    4,385.57/6,573.17 = 1,610.43/x
  3. Step 3: Cross multiply
    4,385.57x = 6,573.17 × 1,610.43
  4. Step 4: Simplify right side
    4,385.57x = 10,585,622.11
  5. Step 5: Solve for x
    x = 10,585,622.11/4,385.57
  6. Step 6: Final answer
    x = 2,413.74

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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.