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Finding the Fourth Proportional to 4,663.26, 6,995.34 and 2,064.78

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Solution

The fourth proportional to 4,663.26, 6,995.34 and 2,064.78 is: 3,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.26 : 6,995.34 = 2,064.78 : x
  2. Step 2: Convert to fraction form
    4,663.26/6,995.34 = 2,064.78/x
  3. Step 3: Cross multiply
    4,663.26x = 6,995.34 × 2,064.78
  4. Step 4: Simplify right side
    4,663.26x = 14,443,838.13
  5. Step 5: Solve for x
    x = 14,443,838.13/4,663.26
  6. Step 6: Final answer
    x = 3,097.37

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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.