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Finding the Fourth Proportional to 4,600.86, 6,349.23 and 2,737.50

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Solution

The fourth proportional to 4,600.86, 6,349.23 and 2,737.50 is: 3,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.86 : 6,349.23 = 2,737.50 : x
  2. Step 2: Convert to fraction form
    4,600.86/6,349.23 = 2,737.50/x
  3. Step 3: Cross multiply
    4,600.86x = 6,349.23 × 2,737.50
  4. Step 4: Simplify right side
    4,600.86x = 17,381,017.13
  5. Step 5: Solve for x
    x = 17,381,017.13/4,600.86
  6. Step 6: Final answer
    x = 3,777.78

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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.