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Finding the Fourth Proportional to 5,888.60, 8,126.14 and 3,199.75

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Solution

The fourth proportional to 5,888.60, 8,126.14 and 3,199.75 is: 4,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.60 : 8,126.14 = 3,199.75 : x
  2. Step 2: Convert to fraction form
    5,888.60/8,126.14 = 3,199.75/x
  3. Step 3: Cross multiply
    5,888.60x = 8,126.14 × 3,199.75
  4. Step 4: Simplify right side
    5,888.60x = 26,001,616.47
  5. Step 5: Solve for x
    x = 26,001,616.47/5,888.60
  6. Step 6: Final answer
    x = 4,415.59

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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.