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Finding the Fourth Proportional to 5,308.86, 7,963.32 and 2,021.22

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Solution

The fourth proportional to 5,308.86, 7,963.32 and 2,021.22 is: 3,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.86 : 7,963.32 = 2,021.22 : x
  2. Step 2: Convert to fraction form
    5,308.86/7,963.32 = 2,021.22/x
  3. Step 3: Cross multiply
    5,308.86x = 7,963.32 × 2,021.22
  4. Step 4: Simplify right side
    5,308.86x = 16,095,621.65
  5. Step 5: Solve for x
    x = 16,095,621.65/5,308.86
  6. Step 6: Final answer
    x = 3,031.84

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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.