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Finding the Fourth Proportional to 3,941.92, 5,914.92 and 1,752.16

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Solution

The fourth proportional to 3,941.92, 5,914.92 and 1,752.16 is: 2,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.92 : 5,914.92 = 1,752.16 : x
  2. Step 2: Convert to fraction form
    3,941.92/5,914.92 = 1,752.16/x
  3. Step 3: Cross multiply
    3,941.92x = 5,914.92 × 1,752.16
  4. Step 4: Simplify right side
    3,941.92x = 10,363,886.23
  5. Step 5: Solve for x
    x = 10,363,886.23/3,941.92
  6. Step 6: Final answer
    x = 2,629.15

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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.