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Finding the Fourth Proportional to 3,409.34, 5,106.52 and 2,817.64

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Solution

The fourth proportional to 3,409.34, 5,106.52 and 2,817.64 is: 4,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.34 : 5,106.52 = 2,817.64 : x
  2. Step 2: Convert to fraction form
    3,409.34/5,106.52 = 2,817.64/x
  3. Step 3: Cross multiply
    3,409.34x = 5,106.52 × 2,817.64
  4. Step 4: Simplify right side
    3,409.34x = 14,388,315.20
  5. Step 5: Solve for x
    x = 14,388,315.20/3,409.34
  6. Step 6: Final answer
    x = 4,220.26

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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.