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Finding the Fourth Proportional to 5,480.32, 8,219.71 and 1,782.60

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Solution

The fourth proportional to 5,480.32, 8,219.71 and 1,782.60 is: 2,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480.32 : 8,219.71 = 1,782.60 : x
  2. Step 2: Convert to fraction form
    5,480.32/8,219.71 = 1,782.60/x
  3. Step 3: Cross multiply
    5,480.32x = 8,219.71 × 1,782.60
  4. Step 4: Simplify right side
    5,480.32x = 14,652,455.05
  5. Step 5: Solve for x
    x = 14,652,455.05/5,480.32
  6. Step 6: Final answer
    x = 2,673.65

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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.