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Finding the Fourth Proportional to 5,540.64, 8,310.80 and 1,645.08

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Solution

The fourth proportional to 5,540.64, 8,310.80 and 1,645.08 is: 2,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.64 : 8,310.80 = 1,645.08 : x
  2. Step 2: Convert to fraction form
    5,540.64/8,310.80 = 1,645.08/x
  3. Step 3: Cross multiply
    5,540.64x = 8,310.80 × 1,645.08
  4. Step 4: Simplify right side
    5,540.64x = 13,671,930.86
  5. Step 5: Solve for x
    x = 13,671,930.86/5,540.64
  6. Step 6: Final answer
    x = 2,467.57

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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.