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Finding the Fourth Proportional to 4,409.45, 6,644.51 and 3,646.60

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Solution

The fourth proportional to 4,409.45, 6,644.51 and 3,646.60 is: 5,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.45 : 6,644.51 = 3,646.60 : x
  2. Step 2: Convert to fraction form
    4,409.45/6,644.51 = 3,646.60/x
  3. Step 3: Cross multiply
    4,409.45x = 6,644.51 × 3,646.60
  4. Step 4: Simplify right side
    4,409.45x = 24,229,886.78
  5. Step 5: Solve for x
    x = 24,229,886.78/4,409.45
  6. Step 6: Final answer
    x = 5,494.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.