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Finding the Fourth Proportional to 5,588, 8,371.04 and 3,832.80

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Solution

The fourth proportional to 5,588, 8,371.04 and 3,832.80 is: 5,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588 : 8,371.04 = 3,832.80 : x
  2. Step 2: Convert to fraction form
    5,588/8,371.04 = 3,832.80/x
  3. Step 3: Cross multiply
    5,588x = 8,371.04 × 3,832.80
  4. Step 4: Simplify right side
    5,588x = 32,084,522.11
  5. Step 5: Solve for x
    x = 32,084,522.11/5,588
  6. Step 6: Final answer
    x = 5,741.68

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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.