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Finding the Fourth Proportional to 5,352.30, 8,026.05 and 2,064.30

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Solution

The fourth proportional to 5,352.30, 8,026.05 and 2,064.30 is: 3,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.30 : 8,026.05 = 2,064.30 : x
  2. Step 2: Convert to fraction form
    5,352.30/8,026.05 = 2,064.30/x
  3. Step 3: Cross multiply
    5,352.30x = 8,026.05 × 2,064.30
  4. Step 4: Simplify right side
    5,352.30x = 16,568,175.02
  5. Step 5: Solve for x
    x = 16,568,175.02/5,352.30
  6. Step 6: Final answer
    x = 3,095.52

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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.