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Finding the Fourth Proportional to 5,736.06, 8,606.72 and 3,400.70

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Solution

The fourth proportional to 5,736.06, 8,606.72 and 3,400.70 is: 5,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.06 : 8,606.72 = 3,400.70 : x
  2. Step 2: Convert to fraction form
    5,736.06/8,606.72 = 3,400.70/x
  3. Step 3: Cross multiply
    5,736.06x = 8,606.72 × 3,400.70
  4. Step 4: Simplify right side
    5,736.06x = 29,268,838.17
  5. Step 5: Solve for x
    x = 29,268,838.17/5,736.06
  6. Step 6: Final answer
    x = 5,102.60

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1.5x scale

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.