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Finding the Fourth Proportional to 4,903.54, 6,762 and 3,134.50

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Solution

The fourth proportional to 4,903.54, 6,762 and 3,134.50 is: 4,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.54 : 6,762 = 3,134.50 : x
  2. Step 2: Convert to fraction form
    4,903.54/6,762 = 3,134.50/x
  3. Step 3: Cross multiply
    4,903.54x = 6,762 × 3,134.50
  4. Step 4: Simplify right side
    4,903.54x = 21,195,489
  5. Step 5: Solve for x
    x = 21,195,489/4,903.54
  6. Step 6: Final answer
    x = 4,322.49

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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.