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Finding the Fourth Proportional to 5,765.93, 8,649.24 and 1,817.32

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Solution

The fourth proportional to 5,765.93, 8,649.24 and 1,817.32 is: 2,726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.93 : 8,649.24 = 1,817.32 : x
  2. Step 2: Convert to fraction form
    5,765.93/8,649.24 = 1,817.32/x
  3. Step 3: Cross multiply
    5,765.93x = 8,649.24 × 1,817.32
  4. Step 4: Simplify right side
    5,765.93x = 15,718,419.15
  5. Step 5: Solve for x
    x = 15,718,419.15/5,765.93
  6. Step 6: Final answer
    x = 2,726.08

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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.