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Finding the Fourth Proportional to 4,533.84, 6,794.64 and 3,434.76

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Solution

The fourth proportional to 4,533.84, 6,794.64 and 3,434.76 is: 5,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.84 : 6,794.64 = 3,434.76 : x
  2. Step 2: Convert to fraction form
    4,533.84/6,794.64 = 3,434.76/x
  3. Step 3: Cross multiply
    4,533.84x = 6,794.64 × 3,434.76
  4. Step 4: Simplify right side
    4,533.84x = 23,337,957.69
  5. Step 5: Solve for x
    x = 23,337,957.69/4,533.84
  6. Step 6: Final answer
    x = 5,147.50

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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.