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Finding the Fourth Proportional to 4,409.96, 6,084.78 and 2,641.28

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Solution

The fourth proportional to 4,409.96, 6,084.78 and 2,641.28 is: 3,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.96 : 6,084.78 = 2,641.28 : x
  2. Step 2: Convert to fraction form
    4,409.96/6,084.78 = 2,641.28/x
  3. Step 3: Cross multiply
    4,409.96x = 6,084.78 × 2,641.28
  4. Step 4: Simplify right side
    4,409.96x = 16,071,607.72
  5. Step 5: Solve for x
    x = 16,071,607.72/4,409.96
  6. Step 6: Final answer
    x = 3,644.39

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Why These Related Problems?

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