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Finding the Fourth Proportional to 4,101.75, 6,154.74 and 2,254.32

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Solution

The fourth proportional to 4,101.75, 6,154.74 and 2,254.32 is: 3,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.75 : 6,154.74 = 2,254.32 : x
  2. Step 2: Convert to fraction form
    4,101.75/6,154.74 = 2,254.32/x
  3. Step 3: Cross multiply
    4,101.75x = 6,154.74 × 2,254.32
  4. Step 4: Simplify right side
    4,101.75x = 13,874,753.48
  5. Step 5: Solve for x
    x = 13,874,753.48/4,101.75
  6. Step 6: Final answer
    x = 3,382.64

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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.