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Finding the Fourth Proportional to 3,635.40, 5,453.10 and 1,002.90

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Solution

The fourth proportional to 3,635.40, 5,453.10 and 1,002.90 is: 1,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.40 : 5,453.10 = 1,002.90 : x
  2. Step 2: Convert to fraction form
    3,635.40/5,453.10 = 1,002.90/x
  3. Step 3: Cross multiply
    3,635.40x = 5,453.10 × 1,002.90
  4. Step 4: Simplify right side
    3,635.40x = 5,468,913.99
  5. Step 5: Solve for x
    x = 5,468,913.99/3,635.40
  6. Step 6: Final answer
    x = 1,504.35

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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.