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Finding the Fourth Proportional to 5,794.24, 7,994.82 and 3,437.14

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Solution

The fourth proportional to 5,794.24, 7,994.82 and 3,437.14 is: 4,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.24 : 7,994.82 = 3,437.14 : x
  2. Step 2: Convert to fraction form
    5,794.24/7,994.82 = 3,437.14/x
  3. Step 3: Cross multiply
    5,794.24x = 7,994.82 × 3,437.14
  4. Step 4: Simplify right side
    5,794.24x = 27,479,315.61
  5. Step 5: Solve for x
    x = 27,479,315.61/5,794.24
  6. Step 6: Final answer
    x = 4,742.52

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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.