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Finding the Fourth Proportional to 4,192.42, 5,785.62 and 2,375.28

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Solution

The fourth proportional to 4,192.42, 5,785.62 and 2,375.28 is: 3,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.42 : 5,785.62 = 2,375.28 : x
  2. Step 2: Convert to fraction form
    4,192.42/5,785.62 = 2,375.28/x
  3. Step 3: Cross multiply
    4,192.42x = 5,785.62 × 2,375.28
  4. Step 4: Simplify right side
    4,192.42x = 13,742,467.47
  5. Step 5: Solve for x
    x = 13,742,467.47/4,192.42
  6. Step 6: Final answer
    x = 3,277.93

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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.