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Finding the Fourth Proportional to 5,103.88, 7,655.82 and 1,641.64

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Solution

The fourth proportional to 5,103.88, 7,655.82 and 1,641.64 is: 2,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.88 : 7,655.82 = 1,641.64 : x
  2. Step 2: Convert to fraction form
    5,103.88/7,655.82 = 1,641.64/x
  3. Step 3: Cross multiply
    5,103.88x = 7,655.82 × 1,641.64
  4. Step 4: Simplify right side
    5,103.88x = 12,568,100.34
  5. Step 5: Solve for x
    x = 12,568,100.34/5,103.88
  6. Step 6: Final answer
    x = 2,462.46

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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.