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Finding the Fourth Proportional to 5,888, 8,125.44 and 3,405.44

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Solution

The fourth proportional to 5,888, 8,125.44 and 3,405.44 is: 4,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888 : 8,125.44 = 3,405.44 : x
  2. Step 2: Convert to fraction form
    5,888/8,125.44 = 3,405.44/x
  3. Step 3: Cross multiply
    5,888x = 8,125.44 × 3,405.44
  4. Step 4: Simplify right side
    5,888x = 27,670,698.39
  5. Step 5: Solve for x
    x = 27,670,698.39/5,888
  6. Step 6: Final answer
    x = 4,699.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.