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Finding the Fourth Proportional to 3,670.38, 5,506.65 and 3,155.22

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Solution

The fourth proportional to 3,670.38, 5,506.65 and 3,155.22 is: 4,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.38 : 5,506.65 = 3,155.22 : x
  2. Step 2: Convert to fraction form
    3,670.38/5,506.65 = 3,155.22/x
  3. Step 3: Cross multiply
    3,670.38x = 5,506.65 × 3,155.22
  4. Step 4: Simplify right side
    3,670.38x = 17,374,692.21
  5. Step 5: Solve for x
    x = 17,374,692.21/3,670.38
  6. Step 6: Final answer
    x = 4,733.76

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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.