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Finding the Fourth Proportional to 4,613.36, 6,922.81 and 1,651.57

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Solution

The fourth proportional to 4,613.36, 6,922.81 and 1,651.57 is: 2,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.36 : 6,922.81 = 1,651.57 : x
  2. Step 2: Convert to fraction form
    4,613.36/6,922.81 = 1,651.57/x
  3. Step 3: Cross multiply
    4,613.36x = 6,922.81 × 1,651.57
  4. Step 4: Simplify right side
    4,613.36x = 11,433,505.31
  5. Step 5: Solve for x
    x = 11,433,505.31/4,613.36
  6. Step 6: Final answer
    x = 2,478.35

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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.