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Finding the Fourth Proportional to 5,533.56, 8,284.43 and 5,144.33

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Solution

The fourth proportional to 5,533.56, 8,284.43 and 5,144.33 is: 7,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.56 : 8,284.43 = 5,144.33 : x
  2. Step 2: Convert to fraction form
    5,533.56/8,284.43 = 5,144.33/x
  3. Step 3: Cross multiply
    5,533.56x = 8,284.43 × 5,144.33
  4. Step 4: Simplify right side
    5,533.56x = 42,617,774.64
  5. Step 5: Solve for x
    x = 42,617,774.64/5,533.56
  6. Step 6: Final answer
    x = 7,701.69

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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.