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Finding the Fourth Proportional to 3,692.47, 5,097.32 and 2,276.41

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Solution

The fourth proportional to 3,692.47, 5,097.32 and 2,276.41 is: 3,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.47 : 5,097.32 = 2,276.41 : x
  2. Step 2: Convert to fraction form
    3,692.47/5,097.32 = 2,276.41/x
  3. Step 3: Cross multiply
    3,692.47x = 5,097.32 × 2,276.41
  4. Step 4: Simplify right side
    3,692.47x = 11,603,590.22
  5. Step 5: Solve for x
    x = 11,603,590.22/3,692.47
  6. Step 6: Final answer
    x = 3,142.50

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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.