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Finding the Fourth Proportional to 4,408, 6,084.48 and 2,544.64

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Solution

The fourth proportional to 4,408, 6,084.48 and 2,544.64 is: 3,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408 : 6,084.48 = 2,544.64 : x
  2. Step 2: Convert to fraction form
    4,408/6,084.48 = 2,544.64/x
  3. Step 3: Cross multiply
    4,408x = 6,084.48 × 2,544.64
  4. Step 4: Simplify right side
    4,408x = 15,482,811.19
  5. Step 5: Solve for x
    x = 15,482,811.19/4,408
  6. Step 6: Final answer
    x = 3,512.43

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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.