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Finding the Fourth Proportional to 5,790, 8,682.12 and 2,326.32

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Solution

The fourth proportional to 5,790, 8,682.12 and 2,326.32 is: 3,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 8,682.12 = 2,326.32 : x
  2. Step 2: Convert to fraction form
    5,790/8,682.12 = 2,326.32/x
  3. Step 3: Cross multiply
    5,790x = 8,682.12 × 2,326.32
  4. Step 4: Simplify right side
    5,790x = 20,197,389.40
  5. Step 5: Solve for x
    x = 20,197,389.40/5,790
  6. Step 6: Final answer
    x = 3,488.32

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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.