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Finding the Fourth Proportional to 5,213.62, 7,195.53 and 2,975.68

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Solution

The fourth proportional to 5,213.62, 7,195.53 and 2,975.68 is: 4,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.62 : 7,195.53 = 2,975.68 : x
  2. Step 2: Convert to fraction form
    5,213.62/7,195.53 = 2,975.68/x
  3. Step 3: Cross multiply
    5,213.62x = 7,195.53 × 2,975.68
  4. Step 4: Simplify right side
    5,213.62x = 21,411,594.71
  5. Step 5: Solve for x
    x = 21,411,594.71/5,213.62
  6. Step 6: Final answer
    x = 4,106.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.