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Finding the Fourth Proportional to 5,454.91, 7,528.26 and 3,097

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Solution

The fourth proportional to 5,454.91, 7,528.26 and 3,097 is: 4,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.91 : 7,528.26 = 3,097 : x
  2. Step 2: Convert to fraction form
    5,454.91/7,528.26 = 3,097/x
  3. Step 3: Cross multiply
    5,454.91x = 7,528.26 × 3,097
  4. Step 4: Simplify right side
    5,454.91x = 23,315,021.22
  5. Step 5: Solve for x
    x = 23,315,021.22/5,454.91
  6. Step 6: Final answer
    x = 4,274.13

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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.