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Finding the Fourth Proportional to 5,667.02, 7,818.32 and 4,178.50

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Solution

The fourth proportional to 5,667.02, 7,818.32 and 4,178.50 is: 5,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.02 : 7,818.32 = 4,178.50 : x
  2. Step 2: Convert to fraction form
    5,667.02/7,818.32 = 4,178.50/x
  3. Step 3: Cross multiply
    5,667.02x = 7,818.32 × 4,178.50
  4. Step 4: Simplify right side
    5,667.02x = 32,668,850.12
  5. Step 5: Solve for x
    x = 32,668,850.12/5,667.02
  6. Step 6: Final answer
    x = 5,764.73

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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.