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Finding the Fourth Proportional to 4,644.54, 6,406.25 and 3,941.06

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Solution

The fourth proportional to 4,644.54, 6,406.25 and 3,941.06 is: 5,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.54 : 6,406.25 = 3,941.06 : x
  2. Step 2: Convert to fraction form
    4,644.54/6,406.25 = 3,941.06/x
  3. Step 3: Cross multiply
    4,644.54x = 6,406.25 × 3,941.06
  4. Step 4: Simplify right side
    4,644.54x = 25,247,363.89
  5. Step 5: Solve for x
    x = 25,247,363.89/4,644.54
  6. Step 6: Final answer
    x = 5,435.92

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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.