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Finding the Fourth Proportional to 5,762.40, 8,644.38 and 2,065.65

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Solution

The fourth proportional to 5,762.40, 8,644.38 and 2,065.65 is: 3,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.40 : 8,644.38 = 2,065.65 : x
  2. Step 2: Convert to fraction form
    5,762.40/8,644.38 = 2,065.65/x
  3. Step 3: Cross multiply
    5,762.40x = 8,644.38 × 2,065.65
  4. Step 4: Simplify right side
    5,762.40x = 17,856,263.55
  5. Step 5: Solve for x
    x = 17,856,263.55/5,762.40
  6. Step 6: Final answer
    x = 3,098.75

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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.