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Finding the Fourth Proportional to 5,782.86, 8,661.69 and 3,001.14

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Solution

The fourth proportional to 5,782.86, 8,661.69 and 3,001.14 is: 4,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.86 : 8,661.69 = 3,001.14 : x
  2. Step 2: Convert to fraction form
    5,782.86/8,661.69 = 3,001.14/x
  3. Step 3: Cross multiply
    5,782.86x = 8,661.69 × 3,001.14
  4. Step 4: Simplify right side
    5,782.86x = 25,994,944.33
  5. Step 5: Solve for x
    x = 25,994,944.33/5,782.86
  6. Step 6: Final answer
    x = 4,495.17

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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.