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Finding the Fourth Proportional to 3,852.48, 5,777.20 and 2,095.68

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Solution

The fourth proportional to 3,852.48, 5,777.20 and 2,095.68 is: 3,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.48 : 5,777.20 = 2,095.68 : x
  2. Step 2: Convert to fraction form
    3,852.48/5,777.20 = 2,095.68/x
  3. Step 3: Cross multiply
    3,852.48x = 5,777.20 × 2,095.68
  4. Step 4: Simplify right side
    3,852.48x = 12,107,162.50
  5. Step 5: Solve for x
    x = 12,107,162.50/3,852.48
  6. Step 6: Final answer
    x = 3,142.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.