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Finding the Fourth Proportional to 4,434.55, 6,627.31 and 4,178.49

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Solution

The fourth proportional to 4,434.55, 6,627.31 and 4,178.49 is: 6,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.55 : 6,627.31 = 4,178.49 : x
  2. Step 2: Convert to fraction form
    4,434.55/6,627.31 = 4,178.49/x
  3. Step 3: Cross multiply
    4,434.55x = 6,627.31 × 4,178.49
  4. Step 4: Simplify right side
    4,434.55x = 27,692,148.56
  5. Step 5: Solve for x
    x = 27,692,148.56/4,434.55
  6. Step 6: Final answer
    x = 6,244.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.