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Finding the Fourth Proportional to 5,832.16, 8,050.16 and 3,970.24

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Solution

The fourth proportional to 5,832.16, 8,050.16 and 3,970.24 is: 5,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.16 : 8,050.16 = 3,970.24 : x
  2. Step 2: Convert to fraction form
    5,832.16/8,050.16 = 3,970.24/x
  3. Step 3: Cross multiply
    5,832.16x = 8,050.16 × 3,970.24
  4. Step 4: Simplify right side
    5,832.16x = 31,961,067.24
  5. Step 5: Solve for x
    x = 31,961,067.24/5,832.16
  6. Step 6: Final answer
    x = 5,480.14

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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.