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Finding the Fourth Proportional to 4,653.38, 6,419.84 and 2,662.86

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Solution

The fourth proportional to 4,653.38, 6,419.84 and 2,662.86 is: 3,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.38 : 6,419.84 = 2,662.86 : x
  2. Step 2: Convert to fraction form
    4,653.38/6,419.84 = 2,662.86/x
  3. Step 3: Cross multiply
    4,653.38x = 6,419.84 × 2,662.86
  4. Step 4: Simplify right side
    4,653.38x = 17,095,121.83
  5. Step 5: Solve for x
    x = 17,095,121.83/4,653.38
  6. Step 6: Final answer
    x = 3,673.70

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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.