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Finding the Fourth Proportional to 5,308.46, 7,955.13 and 3,910.80

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Solution

The fourth proportional to 5,308.46, 7,955.13 and 3,910.80 is: 5,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.46 : 7,955.13 = 3,910.80 : x
  2. Step 2: Convert to fraction form
    5,308.46/7,955.13 = 3,910.80/x
  3. Step 3: Cross multiply
    5,308.46x = 7,955.13 × 3,910.80
  4. Step 4: Simplify right side
    5,308.46x = 31,110,952.07
  5. Step 5: Solve for x
    x = 31,110,952.07/5,308.46
  6. Step 6: Final answer
    x = 5,860.64

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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.