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Finding the Fourth Proportional to 4,663.31, 6,435.31 and 2,647.10

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Solution

The fourth proportional to 4,663.31, 6,435.31 and 2,647.10 is: 3,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.31 : 6,435.31 = 2,647.10 : x
  2. Step 2: Convert to fraction form
    4,663.31/6,435.31 = 2,647.10/x
  3. Step 3: Cross multiply
    4,663.31x = 6,435.31 × 2,647.10
  4. Step 4: Simplify right side
    4,663.31x = 17,034,909.10
  5. Step 5: Solve for x
    x = 17,034,909.10/4,663.31
  6. Step 6: Final answer
    x = 3,652.97

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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.