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Finding the Fourth Proportional to 5,962.69, 8,224.77 and 3,840.99

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Solution

The fourth proportional to 5,962.69, 8,224.77 and 3,840.99 is: 5,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.69 : 8,224.77 = 3,840.99 : x
  2. Step 2: Convert to fraction form
    5,962.69/8,224.77 = 3,840.99/x
  3. Step 3: Cross multiply
    5,962.69x = 8,224.77 × 3,840.99
  4. Step 4: Simplify right side
    5,962.69x = 31,591,259.32
  5. Step 5: Solve for x
    x = 31,591,259.32/5,962.69
  6. Step 6: Final answer
    x = 5,298.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.