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Finding the Fourth Proportional to 4,005.86, 5,526.56 and 2,327

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Solution

The fourth proportional to 4,005.86, 5,526.56 and 2,327 is: 3,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.86 : 5,526.56 = 2,327 : x
  2. Step 2: Convert to fraction form
    4,005.86/5,526.56 = 2,327/x
  3. Step 3: Cross multiply
    4,005.86x = 5,526.56 × 2,327
  4. Step 4: Simplify right side
    4,005.86x = 12,860,305.12
  5. Step 5: Solve for x
    x = 12,860,305.12/4,005.86
  6. Step 6: Final answer
    x = 3,210.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.