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Finding the Fourth Proportional to 4,684.92, 6,997.28 and 3,762.28

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Solution

The fourth proportional to 4,684.92, 6,997.28 and 3,762.28 is: 5,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.92 : 6,997.28 = 3,762.28 : x
  2. Step 2: Convert to fraction form
    4,684.92/6,997.28 = 3,762.28/x
  3. Step 3: Cross multiply
    4,684.92x = 6,997.28 × 3,762.28
  4. Step 4: Simplify right side
    4,684.92x = 26,325,726.60
  5. Step 5: Solve for x
    x = 26,325,726.60/4,684.92
  6. Step 6: Final answer
    x = 5,619.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.