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Finding the Fourth Proportional to 5,762.75, 8,649.59 and 2,646.27

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Solution

The fourth proportional to 5,762.75, 8,649.59 and 2,646.27 is: 3,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.75 : 8,649.59 = 2,646.27 : x
  2. Step 2: Convert to fraction form
    5,762.75/8,649.59 = 2,646.27/x
  3. Step 3: Cross multiply
    5,762.75x = 8,649.59 × 2,646.27
  4. Step 4: Simplify right side
    5,762.75x = 22,889,137.30
  5. Step 5: Solve for x
    x = 22,889,137.30/5,762.75
  6. Step 6: Final answer
    x = 3,971.92

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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.