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Finding the Fourth Proportional to 4,937.76, 7,406.64 and 3,408.48

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Solution

The fourth proportional to 4,937.76, 7,406.64 and 3,408.48 is: 5,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.76 : 7,406.64 = 3,408.48 : x
  2. Step 2: Convert to fraction form
    4,937.76/7,406.64 = 3,408.48/x
  3. Step 3: Cross multiply
    4,937.76x = 7,406.64 × 3,408.48
  4. Step 4: Simplify right side
    4,937.76x = 25,245,384.31
  5. Step 5: Solve for x
    x = 25,245,384.31/4,937.76
  6. Step 6: Final answer
    x = 5,112.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.