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Finding the Fourth Proportional to 5,914.33, 8,860.42 and 5,305.75

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Solution

The fourth proportional to 5,914.33, 8,860.42 and 5,305.75 is: 7,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.33 : 8,860.42 = 5,305.75 : x
  2. Step 2: Convert to fraction form
    5,914.33/8,860.42 = 5,305.75/x
  3. Step 3: Cross multiply
    5,914.33x = 8,860.42 × 5,305.75
  4. Step 4: Simplify right side
    5,914.33x = 47,011,173.42
  5. Step 5: Solve for x
    x = 47,011,173.42/5,914.33
  6. Step 6: Final answer
    x = 7,948.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.