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Finding the Fourth Proportional to 5,131.70, 7,698.35 and 1,667.86

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Solution

The fourth proportional to 5,131.70, 7,698.35 and 1,667.86 is: 2,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.70 : 7,698.35 = 1,667.86 : x
  2. Step 2: Convert to fraction form
    5,131.70/7,698.35 = 1,667.86/x
  3. Step 3: Cross multiply
    5,131.70x = 7,698.35 × 1,667.86
  4. Step 4: Simplify right side
    5,131.70x = 12,839,770.03
  5. Step 5: Solve for x
    x = 12,839,770.03/5,131.70
  6. Step 6: Final answer
    x = 2,502.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.