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Finding the Fourth Proportional to 3,635.56, 5,454.29 and 1,038.70

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Solution

The fourth proportional to 3,635.56, 5,454.29 and 1,038.70 is: 1,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.56 : 5,454.29 = 1,038.70 : x
  2. Step 2: Convert to fraction form
    3,635.56/5,454.29 = 1,038.70/x
  3. Step 3: Cross multiply
    3,635.56x = 5,454.29 × 1,038.70
  4. Step 4: Simplify right side
    3,635.56x = 5,665,352.19
  5. Step 5: Solve for x
    x = 5,665,352.19/3,635.56
  6. Step 6: Final answer
    x = 1,558.32

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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.