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Finding the Fourth Proportional to 5,646.96, 7,792.79 and 3,162.96

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Solution

The fourth proportional to 5,646.96, 7,792.79 and 3,162.96 is: 4,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.96 : 7,792.79 = 3,162.96 : x
  2. Step 2: Convert to fraction form
    5,646.96/7,792.79 = 3,162.96/x
  3. Step 3: Cross multiply
    5,646.96x = 7,792.79 × 3,162.96
  4. Step 4: Simplify right side
    5,646.96x = 24,648,267.24
  5. Step 5: Solve for x
    x = 24,648,267.24/5,646.96
  6. Step 6: Final answer
    x = 4,364.87

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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.