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Finding the Fourth Proportional to 5,708.56, 7,877.80 and 3,190.67

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Solution

The fourth proportional to 5,708.56, 7,877.80 and 3,190.67 is: 4,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.56 : 7,877.80 = 3,190.67 : x
  2. Step 2: Convert to fraction form
    5,708.56/7,877.80 = 3,190.67/x
  3. Step 3: Cross multiply
    5,708.56x = 7,877.80 × 3,190.67
  4. Step 4: Simplify right side
    5,708.56x = 25,135,460.13
  5. Step 5: Solve for x
    x = 25,135,460.13/5,708.56
  6. Step 6: Final answer
    x = 4,403.12

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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.