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Finding the Fourth Proportional to 5,926.70, 8,178.80 and 3,568.34

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Solution

The fourth proportional to 5,926.70, 8,178.80 and 3,568.34 is: 4,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.70 : 8,178.80 = 3,568.34 : x
  2. Step 2: Convert to fraction form
    5,926.70/8,178.80 = 3,568.34/x
  3. Step 3: Cross multiply
    5,926.70x = 8,178.80 × 3,568.34
  4. Step 4: Simplify right side
    5,926.70x = 29,184,739.19
  5. Step 5: Solve for x
    x = 29,184,739.19/5,926.70
  6. Step 6: Final answer
    x = 4,924.28

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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.