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Finding the Fourth Proportional to 3,635.44, 5,453.28 and 1,038.40

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Solution

The fourth proportional to 3,635.44, 5,453.28 and 1,038.40 is: 1,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.44 : 5,453.28 = 1,038.40 : x
  2. Step 2: Convert to fraction form
    3,635.44/5,453.28 = 1,038.40/x
  3. Step 3: Cross multiply
    3,635.44x = 5,453.28 × 1,038.40
  4. Step 4: Simplify right side
    3,635.44x = 5,662,685.95
  5. Step 5: Solve for x
    x = 5,662,685.95/3,635.44
  6. Step 6: Final answer
    x = 1,557.63

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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.