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Finding the Fourth Proportional to 3,504.88, 4,836.72 and 1,933

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Solution

The fourth proportional to 3,504.88, 4,836.72 and 1,933 is: 2,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.88 : 4,836.72 = 1,933 : x
  2. Step 2: Convert to fraction form
    3,504.88/4,836.72 = 1,933/x
  3. Step 3: Cross multiply
    3,504.88x = 4,836.72 × 1,933
  4. Step 4: Simplify right side
    3,504.88x = 9,349,379.76
  5. Step 5: Solve for x
    x = 9,349,379.76/3,504.88
  6. Step 6: Final answer
    x = 2,667.53

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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.