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Finding the Fourth Proportional to 4,641.33, 6,954.35 and 3,409.23

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Solution

The fourth proportional to 4,641.33, 6,954.35 and 3,409.23 is: 5,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.33 : 6,954.35 = 3,409.23 : x
  2. Step 2: Convert to fraction form
    4,641.33/6,954.35 = 3,409.23/x
  3. Step 3: Cross multiply
    4,641.33x = 6,954.35 × 3,409.23
  4. Step 4: Simplify right side
    4,641.33x = 23,708,961.60
  5. Step 5: Solve for x
    x = 23,708,961.60/4,641.33
  6. Step 6: Final answer
    x = 5,108.23

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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.