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Finding the Fourth Proportional to 3,602.13, 4,972.60 and 2,540.76

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Solution

The fourth proportional to 3,602.13, 4,972.60 and 2,540.76 is: 3,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.13 : 4,972.60 = 2,540.76 : x
  2. Step 2: Convert to fraction form
    3,602.13/4,972.60 = 2,540.76/x
  3. Step 3: Cross multiply
    3,602.13x = 4,972.60 × 2,540.76
  4. Step 4: Simplify right side
    3,602.13x = 12,634,183.18
  5. Step 5: Solve for x
    x = 12,634,183.18/3,602.13
  6. Step 6: Final answer
    x = 3,507.42

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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.