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Finding the Fourth Proportional to 3,670.66, 5,501.13 and 2,692.18

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Solution

The fourth proportional to 3,670.66, 5,501.13 and 2,692.18 is: 4,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.66 : 5,501.13 = 2,692.18 : x
  2. Step 2: Convert to fraction form
    3,670.66/5,501.13 = 2,692.18/x
  3. Step 3: Cross multiply
    3,670.66x = 5,501.13 × 2,692.18
  4. Step 4: Simplify right side
    3,670.66x = 14,810,032.16
  5. Step 5: Solve for x
    x = 14,810,032.16/3,670.66
  6. Step 6: Final answer
    x = 4,034.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.