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Finding the Fourth Proportional to 4,211.45, 6,319.45 and 2,133.80

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Solution

The fourth proportional to 4,211.45, 6,319.45 and 2,133.80 is: 3,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.45 : 6,319.45 = 2,133.80 : x
  2. Step 2: Convert to fraction form
    4,211.45/6,319.45 = 2,133.80/x
  3. Step 3: Cross multiply
    4,211.45x = 6,319.45 × 2,133.80
  4. Step 4: Simplify right side
    4,211.45x = 13,484,437.18
  5. Step 5: Solve for x
    x = 13,484,437.18/4,211.45
  6. Step 6: Final answer
    x = 3,201.85

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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.