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Finding the Fourth Proportional to 5,765.77, 8,649.95 and 1,763.51

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Solution

The fourth proportional to 5,765.77, 8,649.95 and 1,763.51 is: 2,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.77 : 8,649.95 = 1,763.51 : x
  2. Step 2: Convert to fraction form
    5,765.77/8,649.95 = 1,763.51/x
  3. Step 3: Cross multiply
    5,765.77x = 8,649.95 × 1,763.51
  4. Step 4: Simplify right side
    5,765.77x = 15,254,234.48
  5. Step 5: Solve for x
    x = 15,254,234.48/5,765.77
  6. Step 6: Final answer
    x = 2,645.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.