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Finding the Fourth Proportional to 5,713.70, 7,884.65 and 3,591.41

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Solution

The fourth proportional to 5,713.70, 7,884.65 and 3,591.41 is: 4,955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.70 : 7,884.65 = 3,591.41 : x
  2. Step 2: Convert to fraction form
    5,713.70/7,884.65 = 3,591.41/x
  3. Step 3: Cross multiply
    5,713.70x = 7,884.65 × 3,591.41
  4. Step 4: Simplify right side
    5,713.70x = 28,316,980.41
  5. Step 5: Solve for x
    x = 28,316,980.41/5,713.70
  6. Step 6: Final answer
    x = 4,955.98

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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.