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Finding the Fourth Proportional to 5,531.56, 8,298.60 and 1,636

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Solution

The fourth proportional to 5,531.56, 8,298.60 and 1,636 is: 2,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.56 : 8,298.60 = 1,636 : x
  2. Step 2: Convert to fraction form
    5,531.56/8,298.60 = 1,636/x
  3. Step 3: Cross multiply
    5,531.56x = 8,298.60 × 1,636
  4. Step 4: Simplify right side
    5,531.56x = 13,576,509.60
  5. Step 5: Solve for x
    x = 13,576,509.60/5,531.56
  6. Step 6: Final answer
    x = 2,454.37

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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.