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Finding the Fourth Proportional to 4,954.16, 6,835.38 and 3,064.84

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Solution

The fourth proportional to 4,954.16, 6,835.38 and 3,064.84 is: 4,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.16 : 6,835.38 = 3,064.84 : x
  2. Step 2: Convert to fraction form
    4,954.16/6,835.38 = 3,064.84/x
  3. Step 3: Cross multiply
    4,954.16x = 6,835.38 × 3,064.84
  4. Step 4: Simplify right side
    4,954.16x = 20,949,311.86
  5. Step 5: Solve for x
    x = 20,949,311.86/4,954.16
  6. Step 6: Final answer
    x = 4,228.63

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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.