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Finding the Fourth Proportional to 5,480.44, 8,221.90 and 1,585.16

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Solution

The fourth proportional to 5,480.44, 8,221.90 and 1,585.16 is: 2,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.44 : 8,221.90 = 1,585.16 : x
  2. Step 2: Convert to fraction form
    5,480.44/8,221.90 = 1,585.16/x
  3. Step 3: Cross multiply
    5,480.44x = 8,221.90 × 1,585.16
  4. Step 4: Simplify right side
    5,480.44x = 13,033,027.00
  5. Step 5: Solve for x
    x = 13,033,027.00/5,480.44
  6. Step 6: Final answer
    x = 2,378.10

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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.