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Finding the Fourth Proportional to 5,975.07, 8,954.53 and 2,275.28

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Solution

The fourth proportional to 5,975.07, 8,954.53 and 2,275.28 is: 3,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.07 : 8,954.53 = 2,275.28 : x
  2. Step 2: Convert to fraction form
    5,975.07/8,954.53 = 2,275.28/x
  3. Step 3: Cross multiply
    5,975.07x = 8,954.53 × 2,275.28
  4. Step 4: Simplify right side
    5,975.07x = 20,374,046.14
  5. Step 5: Solve for x
    x = 20,374,046.14/5,975.07
  6. Step 6: Final answer
    x = 3,409.84

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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.