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Finding the Fourth Proportional to 5,454.87, 7,528.29 and 3,097.14

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Solution

The fourth proportional to 5,454.87, 7,528.29 and 3,097.14 is: 4,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.87 : 7,528.29 = 3,097.14 : x
  2. Step 2: Convert to fraction form
    5,454.87/7,528.29 = 3,097.14/x
  3. Step 3: Cross multiply
    5,454.87x = 7,528.29 × 3,097.14
  4. Step 4: Simplify right side
    5,454.87x = 23,316,168.09
  5. Step 5: Solve for x
    x = 23,316,168.09/5,454.87
  6. Step 6: Final answer
    x = 4,274.38

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Why These Related Problems?

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