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Finding the Fourth Proportional to 4,657.38, 6,419.69 and 3,816.60

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Solution

The fourth proportional to 4,657.38, 6,419.69 and 3,816.60 is: 5,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.38 : 6,419.69 = 3,816.60 : x
  2. Step 2: Convert to fraction form
    4,657.38/6,419.69 = 3,816.60/x
  3. Step 3: Cross multiply
    4,657.38x = 6,419.69 × 3,816.60
  4. Step 4: Simplify right side
    4,657.38x = 24,501,369.77
  5. Step 5: Solve for x
    x = 24,501,369.77/4,657.38
  6. Step 6: Final answer
    x = 5,260.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.