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Finding the Fourth Proportional to 3,405.71, 5,106.50 and 2,220.63

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Solution

The fourth proportional to 3,405.71, 5,106.50 and 2,220.63 is: 3,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.71 : 5,106.50 = 2,220.63 : x
  2. Step 2: Convert to fraction form
    3,405.71/5,106.50 = 2,220.63/x
  3. Step 3: Cross multiply
    3,405.71x = 5,106.50 × 2,220.63
  4. Step 4: Simplify right side
    3,405.71x = 11,339,621.56
  5. Step 5: Solve for x
    x = 11,339,621.56/3,405.71
  6. Step 6: Final answer
    x = 3,329.60

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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.