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Finding the Fourth Proportional to 4,662.63, 6,996.65 and 4,301.78

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Solution

The fourth proportional to 4,662.63, 6,996.65 and 4,301.78 is: 6,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.63 : 6,996.65 = 4,301.78 : x
  2. Step 2: Convert to fraction form
    4,662.63/6,996.65 = 4,301.78/x
  3. Step 3: Cross multiply
    4,662.63x = 6,996.65 × 4,301.78
  4. Step 4: Simplify right side
    4,662.63x = 30,097,992.54
  5. Step 5: Solve for x
    x = 30,097,992.54/4,662.63
  6. Step 6: Final answer
    x = 6,455.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.