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Finding the Fourth Proportional to 5,774, 8,652.84 and 2,848.24

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Solution

The fourth proportional to 5,774, 8,652.84 and 2,848.24 is: 4,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774 : 8,652.84 = 2,848.24 : x
  2. Step 2: Convert to fraction form
    5,774/8,652.84 = 2,848.24/x
  3. Step 3: Cross multiply
    5,774x = 8,652.84 × 2,848.24
  4. Step 4: Simplify right side
    5,774x = 24,645,365.00
  5. Step 5: Solve for x
    x = 24,645,365.00/5,774
  6. Step 6: Final answer
    x = 4,268.33

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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.