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Finding the Fourth Proportional to 4,663.16, 6,994.43 and 1,378.41

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Solution

The fourth proportional to 4,663.16, 6,994.43 and 1,378.41 is: 2,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.16 : 6,994.43 = 1,378.41 : x
  2. Step 2: Convert to fraction form
    4,663.16/6,994.43 = 1,378.41/x
  3. Step 3: Cross multiply
    4,663.16x = 6,994.43 × 1,378.41
  4. Step 4: Simplify right side
    4,663.16x = 9,641,192.26
  5. Step 5: Solve for x
    x = 9,641,192.26/4,663.16
  6. Step 6: Final answer
    x = 2,067.52

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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.