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Finding the Fourth Proportional to 4,965.63, 7,448.44 and 1,267.86

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Solution

The fourth proportional to 4,965.63, 7,448.44 and 1,267.86 is: 1,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.63 : 7,448.44 = 1,267.86 : x
  2. Step 2: Convert to fraction form
    4,965.63/7,448.44 = 1,267.86/x
  3. Step 3: Cross multiply
    4,965.63x = 7,448.44 × 1,267.86
  4. Step 4: Simplify right side
    4,965.63x = 9,443,554.18
  5. Step 5: Solve for x
    x = 9,443,554.18/4,965.63
  6. Step 6: Final answer
    x = 1,901.78

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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.