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Finding the Fourth Proportional to 5,697.44, 8,523.62 and 4,314.76

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Solution

The fourth proportional to 5,697.44, 8,523.62 and 4,314.76 is: 6,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.44 : 8,523.62 = 4,314.76 : x
  2. Step 2: Convert to fraction form
    5,697.44/8,523.62 = 4,314.76/x
  3. Step 3: Cross multiply
    5,697.44x = 8,523.62 × 4,314.76
  4. Step 4: Simplify right side
    5,697.44x = 36,777,374.63
  5. Step 5: Solve for x
    x = 36,777,374.63/5,697.44
  6. Step 6: Final answer
    x = 6,455.07

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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.