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Finding the Fourth Proportional to 4,975.77, 6,866.74 and 2,737.82

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Solution

The fourth proportional to 4,975.77, 6,866.74 and 2,737.82 is: 3,778.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.77 : 6,866.74 = 2,737.82 : x
  2. Step 2: Convert to fraction form
    4,975.77/6,866.74 = 2,737.82/x
  3. Step 3: Cross multiply
    4,975.77x = 6,866.74 × 2,737.82
  4. Step 4: Simplify right side
    4,975.77x = 18,799,898.11
  5. Step 5: Solve for x
    x = 18,799,898.11/4,975.77
  6. Step 6: Final answer
    x = 3,778.29

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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.