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Finding the Fourth Proportional to 5,954.63, 8,929.71 and 4,781.75

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Solution

The fourth proportional to 5,954.63, 8,929.71 and 4,781.75 is: 7,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.63 : 8,929.71 = 4,781.75 : x
  2. Step 2: Convert to fraction form
    5,954.63/8,929.71 = 4,781.75/x
  3. Step 3: Cross multiply
    5,954.63x = 8,929.71 × 4,781.75
  4. Step 4: Simplify right side
    5,954.63x = 42,699,596.14
  5. Step 5: Solve for x
    x = 42,699,596.14/5,954.63
  6. Step 6: Final answer
    x = 7,170.83

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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.