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Finding the Fourth Proportional to 3,692.50, 5,095.65 and 2,295.25

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Solution

The fourth proportional to 3,692.50, 5,095.65 and 2,295.25 is: 3,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.50 : 5,095.65 = 2,295.25 : x
  2. Step 2: Convert to fraction form
    3,692.50/5,095.65 = 2,295.25/x
  3. Step 3: Cross multiply
    3,692.50x = 5,095.65 × 2,295.25
  4. Step 4: Simplify right side
    3,692.50x = 11,695,790.66
  5. Step 5: Solve for x
    x = 11,695,790.66/3,692.50
  6. Step 6: Final answer
    x = 3,167.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.