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Finding the Fourth Proportional to 3,175.74, 4,762.44 and 1,095.21

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Solution

The fourth proportional to 3,175.74, 4,762.44 and 1,095.21 is: 1,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.74 : 4,762.44 = 1,095.21 : x
  2. Step 2: Convert to fraction form
    3,175.74/4,762.44 = 1,095.21/x
  3. Step 3: Cross multiply
    3,175.74x = 4,762.44 × 1,095.21
  4. Step 4: Simplify right side
    3,175.74x = 5,215,871.91
  5. Step 5: Solve for x
    x = 5,215,871.91/3,175.74
  6. Step 6: Final answer
    x = 1,642.41

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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.