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Finding the Fourth Proportional to 4,777.37, 7,166.37 and 1,267.32

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Solution

The fourth proportional to 4,777.37, 7,166.37 and 1,267.32 is: 1,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.37 : 7,166.37 = 1,267.32 : x
  2. Step 2: Convert to fraction form
    4,777.37/7,166.37 = 1,267.32/x
  3. Step 3: Cross multiply
    4,777.37x = 7,166.37 × 1,267.32
  4. Step 4: Simplify right side
    4,777.37x = 9,082,084.03
  5. Step 5: Solve for x
    x = 9,082,084.03/4,777.37
  6. Step 6: Final answer
    x = 1,901.07

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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.