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Finding the Fourth Proportional to 3,095.86, 4,635.42 and 2,267.86

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Solution

The fourth proportional to 3,095.86, 4,635.42 and 2,267.86 is: 3,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.86 : 4,635.42 = 2,267.86 : x
  2. Step 2: Convert to fraction form
    3,095.86/4,635.42 = 2,267.86/x
  3. Step 3: Cross multiply
    3,095.86x = 4,635.42 × 2,267.86
  4. Step 4: Simplify right side
    3,095.86x = 10,512,483.60
  5. Step 5: Solve for x
    x = 10,512,483.60/3,095.86
  6. Step 6: Final answer
    x = 3,395.66

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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.