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Finding the Fourth Proportional to 4,663.36, 6,995.73 and 2,906.93

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Solution

The fourth proportional to 4,663.36, 6,995.73 and 2,906.93 is: 4,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.36 : 6,995.73 = 2,906.93 : x
  2. Step 2: Convert to fraction form
    4,663.36/6,995.73 = 2,906.93/x
  3. Step 3: Cross multiply
    4,663.36x = 6,995.73 × 2,906.93
  4. Step 4: Simplify right side
    4,663.36x = 20,336,097.41
  5. Step 5: Solve for x
    x = 20,336,097.41/4,663.36
  6. Step 6: Final answer
    x = 4,360.83

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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.