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Finding the Fourth Proportional to 5,780.39, 7,968.44 and 4,165.79

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Solution

The fourth proportional to 5,780.39, 7,968.44 and 4,165.79 is: 5,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.39 : 7,968.44 = 4,165.79 : x
  2. Step 2: Convert to fraction form
    5,780.39/7,968.44 = 4,165.79/x
  3. Step 3: Cross multiply
    5,780.39x = 7,968.44 × 4,165.79
  4. Step 4: Simplify right side
    5,780.39x = 33,194,818.24
  5. Step 5: Solve for x
    x = 33,194,818.24/5,780.39
  6. Step 6: Final answer
    x = 5,742.67

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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.