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Finding the Fourth Proportional to 5,657.56, 8,486.58 and 3,464.92

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Solution

The fourth proportional to 5,657.56, 8,486.58 and 3,464.92 is: 5,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.56 : 8,486.58 = 3,464.92 : x
  2. Step 2: Convert to fraction form
    5,657.56/8,486.58 = 3,464.92/x
  3. Step 3: Cross multiply
    5,657.56x = 8,486.58 × 3,464.92
  4. Step 4: Simplify right side
    5,657.56x = 29,405,320.77
  5. Step 5: Solve for x
    x = 29,405,320.77/5,657.56
  6. Step 6: Final answer
    x = 5,197.53

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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.