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Finding the Fourth Proportional to 5,667.50, 8,491.77 and 4,016.06

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Solution

The fourth proportional to 5,667.50, 8,491.77 and 4,016.06 is: 6,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.50 : 8,491.77 = 4,016.06 : x
  2. Step 2: Convert to fraction form
    5,667.50/8,491.77 = 4,016.06/x
  3. Step 3: Cross multiply
    5,667.50x = 8,491.77 × 4,016.06
  4. Step 4: Simplify right side
    5,667.50x = 34,103,457.83
  5. Step 5: Solve for x
    x = 34,103,457.83/5,667.50
  6. Step 6: Final answer
    x = 6,017.37

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Why These Related Problems?

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