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Finding the Fourth Proportional to 3,827.02, 5,726.04 and 2,267.86

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Solution

The fourth proportional to 3,827.02, 5,726.04 and 2,267.86 is: 3,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.02 : 5,726.04 = 2,267.86 : x
  2. Step 2: Convert to fraction form
    3,827.02/5,726.04 = 2,267.86/x
  3. Step 3: Cross multiply
    3,827.02x = 5,726.04 × 2,267.86
  4. Step 4: Simplify right side
    3,827.02x = 12,985,857.07
  5. Step 5: Solve for x
    x = 12,985,857.07/3,827.02
  6. Step 6: Final answer
    x = 3,393.20

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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.