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Finding the Fourth Proportional to 4,641.80, 6,404.12 and 2,650.96

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Solution

The fourth proportional to 4,641.80, 6,404.12 and 2,650.96 is: 3,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.80 : 6,404.12 = 2,650.96 : x
  2. Step 2: Convert to fraction form
    4,641.80/6,404.12 = 2,650.96/x
  3. Step 3: Cross multiply
    4,641.80x = 6,404.12 × 2,650.96
  4. Step 4: Simplify right side
    4,641.80x = 16,977,065.96
  5. Step 5: Solve for x
    x = 16,977,065.96/4,641.80
  6. Step 6: Final answer
    x = 3,657.43

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