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Finding the Fourth Proportional to 4,108.86, 5,677.74 and 2,927.88

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Solution

The fourth proportional to 4,108.86, 5,677.74 and 2,927.88 is: 4,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.86 : 5,677.74 = 2,927.88 : x
  2. Step 2: Convert to fraction form
    4,108.86/5,677.74 = 2,927.88/x
  3. Step 3: Cross multiply
    4,108.86x = 5,677.74 × 2,927.88
  4. Step 4: Simplify right side
    4,108.86x = 16,623,741.39
  5. Step 5: Solve for x
    x = 16,623,741.39/4,108.86
  6. Step 6: Final answer
    x = 4,045.83

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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.