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Finding the Fourth Proportional to 5,410.89, 8,117.53 and 1,662.69

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Solution

The fourth proportional to 5,410.89, 8,117.53 and 1,662.69 is: 2,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.89 : 8,117.53 = 1,662.69 : x
  2. Step 2: Convert to fraction form
    5,410.89/8,117.53 = 1,662.69/x
  3. Step 3: Cross multiply
    5,410.89x = 8,117.53 × 1,662.69
  4. Step 4: Simplify right side
    5,410.89x = 13,496,930.33
  5. Step 5: Solve for x
    x = 13,496,930.33/5,410.89
  6. Step 6: Final answer
    x = 2,494.40

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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.