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Finding the Fourth Proportional to 4,166.87, 5,754.58 and 3,604.64

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Solution

The fourth proportional to 4,166.87, 5,754.58 and 3,604.64 is: 4,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.87 : 5,754.58 = 3,604.64 : x
  2. Step 2: Convert to fraction form
    4,166.87/5,754.58 = 3,604.64/x
  3. Step 3: Cross multiply
    4,166.87x = 5,754.58 × 3,604.64
  4. Step 4: Simplify right side
    4,166.87x = 20,743,151.47
  5. Step 5: Solve for x
    x = 20,743,151.47/4,166.87
  6. Step 6: Final answer
    x = 4,978.12

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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.