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Finding the Fourth Proportional to 4,797.50, 7,196.26 and 1,334.76

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Solution

The fourth proportional to 4,797.50, 7,196.26 and 1,334.76 is: 2,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.50 : 7,196.26 = 1,334.76 : x
  2. Step 2: Convert to fraction form
    4,797.50/7,196.26 = 1,334.76/x
  3. Step 3: Cross multiply
    4,797.50x = 7,196.26 × 1,334.76
  4. Step 4: Simplify right side
    4,797.50x = 9,605,280.00
  5. Step 5: Solve for x
    x = 9,605,280.00/4,797.50
  6. Step 6: Final answer
    x = 2,002.14

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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.