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Finding the Fourth Proportional to 5,762.06, 8,645.91 and 2,064.57

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Solution

The fourth proportional to 5,762.06, 8,645.91 and 2,064.57 is: 3,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.06 : 8,645.91 = 2,064.57 : x
  2. Step 2: Convert to fraction form
    5,762.06/8,645.91 = 2,064.57/x
  3. Step 3: Cross multiply
    5,762.06x = 8,645.91 × 2,064.57
  4. Step 4: Simplify right side
    5,762.06x = 17,850,076.09
  5. Step 5: Solve for x
    x = 17,850,076.09/5,762.06
  6. Step 6: Final answer
    x = 3,097.87

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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.