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Finding the Fourth Proportional to 4,662.60, 6,434.73 and 2,673.78

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Solution

The fourth proportional to 4,662.60, 6,434.73 and 2,673.78 is: 3,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.60 : 6,434.73 = 2,673.78 : x
  2. Step 2: Convert to fraction form
    4,662.60/6,434.73 = 2,673.78/x
  3. Step 3: Cross multiply
    4,662.60x = 6,434.73 × 2,673.78
  4. Step 4: Simplify right side
    4,662.60x = 17,205,052.38
  5. Step 5: Solve for x
    x = 17,205,052.38/4,662.60
  6. Step 6: Final answer
    x = 3,690.01

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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.