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Finding the Fourth Proportional to 5,665.61, 8,495.50 and 2,542.94

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Solution

The fourth proportional to 5,665.61, 8,495.50 and 2,542.94 is: 3,813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.61 : 8,495.50 = 2,542.94 : x
  2. Step 2: Convert to fraction form
    5,665.61/8,495.50 = 2,542.94/x
  3. Step 3: Cross multiply
    5,665.61x = 8,495.50 × 2,542.94
  4. Step 4: Simplify right side
    5,665.61x = 21,603,573.57
  5. Step 5: Solve for x
    x = 21,603,573.57/5,665.61
  6. Step 6: Final answer
    x = 3,813.10

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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.