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Finding the Fourth Proportional to 5,376.48, 8,064 and 1,480.20

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Solution

The fourth proportional to 5,376.48, 8,064 and 1,480.20 is: 2,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.48 : 8,064 = 1,480.20 : x
  2. Step 2: Convert to fraction form
    5,376.48/8,064 = 1,480.20/x
  3. Step 3: Cross multiply
    5,376.48x = 8,064 × 1,480.20
  4. Step 4: Simplify right side
    5,376.48x = 11,936,332.80
  5. Step 5: Solve for x
    x = 11,936,332.80/5,376.48
  6. Step 6: Final answer
    x = 2,220.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.