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Finding the Fourth Proportional to 4,292.68, 5,926.26 and 3,509.32

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Solution

The fourth proportional to 4,292.68, 5,926.26 and 3,509.32 is: 4,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.68 : 5,926.26 = 3,509.32 : x
  2. Step 2: Convert to fraction form
    4,292.68/5,926.26 = 3,509.32/x
  3. Step 3: Cross multiply
    4,292.68x = 5,926.26 × 3,509.32
  4. Step 4: Simplify right side
    4,292.68x = 20,797,142.74
  5. Step 5: Solve for x
    x = 20,797,142.74/4,292.68
  6. Step 6: Final answer
    x = 4,844.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.