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Finding the Fourth Proportional to 5,774.68, 8,657.16 and 2,314.36

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Solution

The fourth proportional to 5,774.68, 8,657.16 and 2,314.36 is: 3,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.68 : 8,657.16 = 2,314.36 : x
  2. Step 2: Convert to fraction form
    5,774.68/8,657.16 = 2,314.36/x
  3. Step 3: Cross multiply
    5,774.68x = 8,657.16 × 2,314.36
  4. Step 4: Simplify right side
    5,774.68x = 20,035,784.82
  5. Step 5: Solve for x
    x = 20,035,784.82/5,774.68
  6. Step 6: Final answer
    x = 3,469.59

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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.