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Finding the Fourth Proportional to 5,659.44, 7,807.23 and 3,419.79

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Solution

The fourth proportional to 5,659.44, 7,807.23 and 3,419.79 is: 4,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.44 : 7,807.23 = 3,419.79 : x
  2. Step 2: Convert to fraction form
    5,659.44/7,807.23 = 3,419.79/x
  3. Step 3: Cross multiply
    5,659.44x = 7,807.23 × 3,419.79
  4. Step 4: Simplify right side
    5,659.44x = 26,699,087.08
  5. Step 5: Solve for x
    x = 26,699,087.08/5,659.44
  6. Step 6: Final answer
    x = 4,717.62

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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.