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Finding the Fourth Proportional to 4,175.64, 6,287.84 and 3,087.68

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Solution

The fourth proportional to 4,175.64, 6,287.84 and 3,087.68 is: 4,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.64 : 6,287.84 = 3,087.68 : x
  2. Step 2: Convert to fraction form
    4,175.64/6,287.84 = 3,087.68/x
  3. Step 3: Cross multiply
    4,175.64x = 6,287.84 × 3,087.68
  4. Step 4: Simplify right side
    4,175.64x = 19,414,837.81
  5. Step 5: Solve for x
    x = 19,414,837.81/4,175.64
  6. Step 6: Final answer
    x = 4,649.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.