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Finding the Fourth Proportional to 4,663.16, 6,996.09 and 1,376.28

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Solution

The fourth proportional to 4,663.16, 6,996.09 and 1,376.28 is: 2,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.16 : 6,996.09 = 1,376.28 : x
  2. Step 2: Convert to fraction form
    4,663.16/6,996.09 = 1,376.28/x
  3. Step 3: Cross multiply
    4,663.16x = 6,996.09 × 1,376.28
  4. Step 4: Simplify right side
    4,663.16x = 9,628,578.75
  5. Step 5: Solve for x
    x = 9,628,578.75/4,663.16
  6. Step 6: Final answer
    x = 2,064.82

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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.