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Finding the Fourth Proportional to 5,888.25, 8,125.79 and 3,404.25

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Solution

The fourth proportional to 5,888.25, 8,125.79 and 3,404.25 is: 4,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.25 : 8,125.79 = 3,404.25 : x
  2. Step 2: Convert to fraction form
    5,888.25/8,125.79 = 3,404.25/x
  3. Step 3: Cross multiply
    5,888.25x = 8,125.79 × 3,404.25
  4. Step 4: Simplify right side
    5,888.25x = 27,662,203.59
  5. Step 5: Solve for x
    x = 27,662,203.59/5,888.25
  6. Step 6: Final answer
    x = 4,697.87

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