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Finding the Fourth Proportional to 5,893.04, 8,832.84 and 2,426

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Solution

The fourth proportional to 5,893.04, 8,832.84 and 2,426 is: 3,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.04 : 8,832.84 = 2,426 : x
  2. Step 2: Convert to fraction form
    5,893.04/8,832.84 = 2,426/x
  3. Step 3: Cross multiply
    5,893.04x = 8,832.84 × 2,426
  4. Step 4: Simplify right side
    5,893.04x = 21,428,469.84
  5. Step 5: Solve for x
    x = 21,428,469.84/5,893.04
  6. Step 6: Final answer
    x = 3,636.23

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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.