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Finding the Fourth Proportional to 5,095.62, 7,032.24 and 3,834.41

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Solution

The fourth proportional to 5,095.62, 7,032.24 and 3,834.41 is: 5,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.62 : 7,032.24 = 3,834.41 : x
  2. Step 2: Convert to fraction form
    5,095.62/7,032.24 = 3,834.41/x
  3. Step 3: Cross multiply
    5,095.62x = 7,032.24 × 3,834.41
  4. Step 4: Simplify right side
    5,095.62x = 26,964,456.22
  5. Step 5: Solve for x
    x = 26,964,456.22/5,095.62
  6. Step 6: Final answer
    x = 5,291.69

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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.