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Finding the Fourth Proportional to 5,531.36, 8,297.04 and 1,635.47

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Solution

The fourth proportional to 5,531.36, 8,297.04 and 1,635.47 is: 2,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.36 : 8,297.04 = 1,635.47 : x
  2. Step 2: Convert to fraction form
    5,531.36/8,297.04 = 1,635.47/x
  3. Step 3: Cross multiply
    5,531.36x = 8,297.04 × 1,635.47
  4. Step 4: Simplify right side
    5,531.36x = 13,569,518.52
  5. Step 5: Solve for x
    x = 13,569,518.52/5,531.36
  6. Step 6: Final answer
    x = 2,453.20

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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.