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Finding the Fourth Proportional to 6,377.69, 8,800.95 and 3,688.49

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Solution

The fourth proportional to 6,377.69, 8,800.95 and 3,688.49 is: 5,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.69 : 8,800.95 = 3,688.49 : x
  2. Step 2: Convert to fraction form
    6,377.69/8,800.95 = 3,688.49/x
  3. Step 3: Cross multiply
    6,377.69x = 8,800.95 × 3,688.49
  4. Step 4: Simplify right side
    6,377.69x = 32,462,216.07
  5. Step 5: Solve for x
    x = 32,462,216.07/6,377.69
  6. Step 6: Final answer
    x = 5,089.96

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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.