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Finding the Fourth Proportional to 4,663.93, 6,997.05 and 1,377.01

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Solution

The fourth proportional to 4,663.93, 6,997.05 and 1,377.01 is: 2,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.93 : 6,997.05 = 1,377.01 : x
  2. Step 2: Convert to fraction form
    4,663.93/6,997.05 = 1,377.01/x
  3. Step 3: Cross multiply
    4,663.93x = 6,997.05 × 1,377.01
  4. Step 4: Simplify right side
    4,663.93x = 9,635,007.82
  5. Step 5: Solve for x
    x = 9,635,007.82/4,663.93
  6. Step 6: Final answer
    x = 2,065.86

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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.