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Finding the Fourth Proportional to 5,762.24, 8,644.91 and 2,064.86

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Solution

The fourth proportional to 5,762.24, 8,644.91 and 2,064.86 is: 3,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.24 : 8,644.91 = 2,064.86 : x
  2. Step 2: Convert to fraction form
    5,762.24/8,644.91 = 2,064.86/x
  3. Step 3: Cross multiply
    5,762.24x = 8,644.91 × 2,064.86
  4. Step 4: Simplify right side
    5,762.24x = 17,850,475.31
  5. Step 5: Solve for x
    x = 17,850,475.31/5,762.24
  6. Step 6: Final answer
    x = 3,097.84

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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.