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Finding the Fourth Proportional to 4,838.70, 6,674.87 and 3,657.72

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Solution

The fourth proportional to 4,838.70, 6,674.87 and 3,657.72 is: 5,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.70 : 6,674.87 = 3,657.72 : x
  2. Step 2: Convert to fraction form
    4,838.70/6,674.87 = 3,657.72/x
  3. Step 3: Cross multiply
    4,838.70x = 6,674.87 × 3,657.72
  4. Step 4: Simplify right side
    4,838.70x = 24,414,805.50
  5. Step 5: Solve for x
    x = 24,414,805.50/4,838.70
  6. Step 6: Final answer
    x = 5,045.74

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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.