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Finding the Fourth Proportional to 4,409.07, 6,613.77 and 1,122.24

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Solution

The fourth proportional to 4,409.07, 6,613.77 and 1,122.24 is: 1,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.07 : 6,613.77 = 1,122.24 : x
  2. Step 2: Convert to fraction form
    4,409.07/6,613.77 = 1,122.24/x
  3. Step 3: Cross multiply
    4,409.07x = 6,613.77 × 1,122.24
  4. Step 4: Simplify right side
    4,409.07x = 7,422,237.24
  5. Step 5: Solve for x
    x = 7,422,237.24/4,409.07
  6. Step 6: Final answer
    x = 1,683.40

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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.