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Finding the Fourth Proportional to 3,813.66, 5,730.08 and 2,427.62

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Solution

The fourth proportional to 3,813.66, 5,730.08 and 2,427.62 is: 3,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.66 : 5,730.08 = 2,427.62 : x
  2. Step 2: Convert to fraction form
    3,813.66/5,730.08 = 2,427.62/x
  3. Step 3: Cross multiply
    3,813.66x = 5,730.08 × 2,427.62
  4. Step 4: Simplify right side
    3,813.66x = 13,910,416.02
  5. Step 5: Solve for x
    x = 13,910,416.02/3,813.66
  6. Step 6: Final answer
    x = 3,647.52

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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.