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Finding the Fourth Proportional to 4,659.36, 6,992.27 and 3,011.82

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Solution

The fourth proportional to 4,659.36, 6,992.27 and 3,011.82 is: 4,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.36 : 6,992.27 = 3,011.82 : x
  2. Step 2: Convert to fraction form
    4,659.36/6,992.27 = 3,011.82/x
  3. Step 3: Cross multiply
    4,659.36x = 6,992.27 × 3,011.82
  4. Step 4: Simplify right side
    4,659.36x = 21,059,423.67
  5. Step 5: Solve for x
    x = 21,059,423.67/4,659.36
  6. Step 6: Final answer
    x = 4,519.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.