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Finding the Fourth Proportional to 5,384.25, 7,430.13 and 2,994.23

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Solution

The fourth proportional to 5,384.25, 7,430.13 and 2,994.23 is: 4,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.25 : 7,430.13 = 2,994.23 : x
  2. Step 2: Convert to fraction form
    5,384.25/7,430.13 = 2,994.23/x
  3. Step 3: Cross multiply
    5,384.25x = 7,430.13 × 2,994.23
  4. Step 4: Simplify right side
    5,384.25x = 22,247,536.73
  5. Step 5: Solve for x
    x = 22,247,536.73/5,384.25
  6. Step 6: Final answer
    x = 4,131.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.