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Finding the Fourth Proportional to 5,533.26, 8,301.22 and 1,584.58

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Solution

The fourth proportional to 5,533.26, 8,301.22 and 1,584.58 is: 2,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.26 : 8,301.22 = 1,584.58 : x
  2. Step 2: Convert to fraction form
    5,533.26/8,301.22 = 1,584.58/x
  3. Step 3: Cross multiply
    5,533.26x = 8,301.22 × 1,584.58
  4. Step 4: Simplify right side
    5,533.26x = 13,153,947.19
  5. Step 5: Solve for x
    x = 13,153,947.19/5,533.26
  6. Step 6: Final answer
    x = 2,377.25

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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.