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Finding the Fourth Proportional to 5,717.46, 7,890.57 and 3,199.82

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Solution

The fourth proportional to 5,717.46, 7,890.57 and 3,199.82 is: 4,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.46 : 7,890.57 = 3,199.82 : x
  2. Step 2: Convert to fraction form
    5,717.46/7,890.57 = 3,199.82/x
  3. Step 3: Cross multiply
    5,717.46x = 7,890.57 × 3,199.82
  4. Step 4: Simplify right side
    5,717.46x = 25,248,364.24
  5. Step 5: Solve for x
    x = 25,248,364.24/5,717.46
  6. Step 6: Final answer
    x = 4,416.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.