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Finding the Fourth Proportional to 5,782.77, 8,669.28 and 2,270.82

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Solution

The fourth proportional to 5,782.77, 8,669.28 and 2,270.82 is: 3,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.77 : 8,669.28 = 2,270.82 : x
  2. Step 2: Convert to fraction form
    5,782.77/8,669.28 = 2,270.82/x
  3. Step 3: Cross multiply
    5,782.77x = 8,669.28 × 2,270.82
  4. Step 4: Simplify right side
    5,782.77x = 19,686,374.41
  5. Step 5: Solve for x
    x = 19,686,374.41/5,782.77
  6. Step 6: Final answer
    x = 3,404.32

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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.