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Finding the Fourth Proportional to 5,645.70, 8,462.48 and 3,455.87

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Solution

The fourth proportional to 5,645.70, 8,462.48 and 3,455.87 is: 5,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.70 : 8,462.48 = 3,455.87 : x
  2. Step 2: Convert to fraction form
    5,645.70/8,462.48 = 3,455.87/x
  3. Step 3: Cross multiply
    5,645.70x = 8,462.48 × 3,455.87
  4. Step 4: Simplify right side
    5,645.70x = 29,245,171.17
  5. Step 5: Solve for x
    x = 29,245,171.17/5,645.70
  6. Step 6: Final answer
    x = 5,180.08

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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.