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Finding the Fourth Proportional to 5,867.16, 8,096.34 and 3,509.28

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Solution

The fourth proportional to 5,867.16, 8,096.34 and 3,509.28 is: 4,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.16 : 8,096.34 = 3,509.28 : x
  2. Step 2: Convert to fraction form
    5,867.16/8,096.34 = 3,509.28/x
  3. Step 3: Cross multiply
    5,867.16x = 8,096.34 × 3,509.28
  4. Step 4: Simplify right side
    5,867.16x = 28,412,324.04
  5. Step 5: Solve for x
    x = 28,412,324.04/5,867.16
  6. Step 6: Final answer
    x = 4,842.60

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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.