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Finding the Fourth Proportional to 3,267.02, 4,900.26 and 958.52

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Solution

The fourth proportional to 3,267.02, 4,900.26 and 958.52 is: 1,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.02 : 4,900.26 = 958.52 : x
  2. Step 2: Convert to fraction form
    3,267.02/4,900.26 = 958.52/x
  3. Step 3: Cross multiply
    3,267.02x = 4,900.26 × 958.52
  4. Step 4: Simplify right side
    3,267.02x = 4,696,997.22
  5. Step 5: Solve for x
    x = 4,696,997.22/3,267.02
  6. Step 6: Final answer
    x = 1,437.70

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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.