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Finding the Fourth Proportional to 4,357.36, 6,015 and 2,785.12

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Solution

The fourth proportional to 4,357.36, 6,015 and 2,785.12 is: 3,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.36 : 6,015 = 2,785.12 : x
  2. Step 2: Convert to fraction form
    4,357.36/6,015 = 2,785.12/x
  3. Step 3: Cross multiply
    4,357.36x = 6,015 × 2,785.12
  4. Step 4: Simplify right side
    4,357.36x = 16,752,496.80
  5. Step 5: Solve for x
    x = 16,752,496.80/4,357.36
  6. Step 6: Final answer
    x = 3,844.64

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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.