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Finding the Fourth Proportional to 3,820.46, 5,730.57 and 1,600.47

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Solution

The fourth proportional to 3,820.46, 5,730.57 and 1,600.47 is: 2,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.46 : 5,730.57 = 1,600.47 : x
  2. Step 2: Convert to fraction form
    3,820.46/5,730.57 = 1,600.47/x
  3. Step 3: Cross multiply
    3,820.46x = 5,730.57 × 1,600.47
  4. Step 4: Simplify right side
    3,820.46x = 9,171,605.37
  5. Step 5: Solve for x
    x = 9,171,605.37/3,820.46
  6. Step 6: Final answer
    x = 2,400.66

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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.