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Finding the Fourth Proportional to 5,762.44, 8,644.80 and 2,063.68

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Solution

The fourth proportional to 5,762.44, 8,644.80 and 2,063.68 is: 3,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.44 : 8,644.80 = 2,063.68 : x
  2. Step 2: Convert to fraction form
    5,762.44/8,644.80 = 2,063.68/x
  3. Step 3: Cross multiply
    5,762.44x = 8,644.80 × 2,063.68
  4. Step 4: Simplify right side
    5,762.44x = 17,840,047.32
  5. Step 5: Solve for x
    x = 17,840,047.32/5,762.44
  6. Step 6: Final answer
    x = 3,095.92

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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.