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Finding the Fourth Proportional to 5,765.34, 8,649.28 and 2,070.24

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Solution

The fourth proportional to 5,765.34, 8,649.28 and 2,070.24 is: 3,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.34 : 8,649.28 = 2,070.24 : x
  2. Step 2: Convert to fraction form
    5,765.34/8,649.28 = 2,070.24/x
  3. Step 3: Cross multiply
    5,765.34x = 8,649.28 × 2,070.24
  4. Step 4: Simplify right side
    5,765.34x = 17,906,085.43
  5. Step 5: Solve for x
    x = 17,906,085.43/5,765.34
  6. Step 6: Final answer
    x = 3,105.82

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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.