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Finding the Fourth Proportional to 3,635.77, 5,454.48 and 1,444.60

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Solution

The fourth proportional to 3,635.77, 5,454.48 and 1,444.60 is: 2,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.77 : 5,454.48 = 1,444.60 : x
  2. Step 2: Convert to fraction form
    3,635.77/5,454.48 = 1,444.60/x
  3. Step 3: Cross multiply
    3,635.77x = 5,454.48 × 1,444.60
  4. Step 4: Simplify right side
    3,635.77x = 7,879,541.81
  5. Step 5: Solve for x
    x = 7,879,541.81/3,635.77
  6. Step 6: Final answer
    x = 2,167.23

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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.