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Finding the Fourth Proportional to 4,838.67, 6,677.64 and 3,657.69

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Solution

The fourth proportional to 4,838.67, 6,677.64 and 3,657.69 is: 5,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.67 : 6,677.64 = 3,657.69 : x
  2. Step 2: Convert to fraction form
    4,838.67/6,677.64 = 3,657.69/x
  3. Step 3: Cross multiply
    4,838.67x = 6,677.64 × 3,657.69
  4. Step 4: Simplify right side
    4,838.67x = 24,424,737.05
  5. Step 5: Solve for x
    x = 24,424,737.05/4,838.67
  6. Step 6: Final answer
    x = 5,047.82

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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.