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Finding the Fourth Proportional to 5,774.64, 8,698.31 and 5,257.92

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Solution

The fourth proportional to 5,774.64, 8,698.31 and 5,257.92 is: 7,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.64 : 8,698.31 = 5,257.92 : x
  2. Step 2: Convert to fraction form
    5,774.64/8,698.31 = 5,257.92/x
  3. Step 3: Cross multiply
    5,774.64x = 8,698.31 × 5,257.92
  4. Step 4: Simplify right side
    5,774.64x = 45,734,991.83
  5. Step 5: Solve for x
    x = 45,734,991.83/5,774.64
  6. Step 6: Final answer
    x = 7,919.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.