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Finding the Fourth Proportional to 5,641.54, 8,462.10 and 1,481.51

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Solution

The fourth proportional to 5,641.54, 8,462.10 and 1,481.51 is: 2,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.54 : 8,462.10 = 1,481.51 : x
  2. Step 2: Convert to fraction form
    5,641.54/8,462.10 = 1,481.51/x
  3. Step 3: Cross multiply
    5,641.54x = 8,462.10 × 1,481.51
  4. Step 4: Simplify right side
    5,641.54x = 12,536,685.77
  5. Step 5: Solve for x
    x = 12,536,685.77/5,641.54
  6. Step 6: Final answer
    x = 2,222.21

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