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Finding the Fourth Proportional to 4,095.42, 5,651.76 and 2,232.42

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Solution

The fourth proportional to 4,095.42, 5,651.76 and 2,232.42 is: 3,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.42 : 5,651.76 = 2,232.42 : x
  2. Step 2: Convert to fraction form
    4,095.42/5,651.76 = 2,232.42/x
  3. Step 3: Cross multiply
    4,095.42x = 5,651.76 × 2,232.42
  4. Step 4: Simplify right side
    4,095.42x = 12,617,102.06
  5. Step 5: Solve for x
    x = 12,617,102.06/4,095.42
  6. Step 6: Final answer
    x = 3,080.78

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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.