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Finding the Fourth Proportional to 5,475.09, 8,213.09 and 2,355.18

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Solution

The fourth proportional to 5,475.09, 8,213.09 and 2,355.18 is: 3,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.09 : 8,213.09 = 2,355.18 : x
  2. Step 2: Convert to fraction form
    5,475.09/8,213.09 = 2,355.18/x
  3. Step 3: Cross multiply
    5,475.09x = 8,213.09 × 2,355.18
  4. Step 4: Simplify right side
    5,475.09x = 19,343,293.53
  5. Step 5: Solve for x
    x = 19,343,293.53/5,475.09
  6. Step 6: Final answer
    x = 3,532.96

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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.