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Finding the Fourth Proportional to 3,697.42, 5,101.45 and 2,204.66

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Solution

The fourth proportional to 3,697.42, 5,101.45 and 2,204.66 is: 3,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.42 : 5,101.45 = 2,204.66 : x
  2. Step 2: Convert to fraction form
    3,697.42/5,101.45 = 2,204.66/x
  3. Step 3: Cross multiply
    3,697.42x = 5,101.45 × 2,204.66
  4. Step 4: Simplify right side
    3,697.42x = 11,246,962.76
  5. Step 5: Solve for x
    x = 11,246,962.76/3,697.42
  6. Step 6: Final answer
    x = 3,041.84

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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.