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Finding the Fourth Proportional to 5,455.36, 7,528 and 3,097.92

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Solution

The fourth proportional to 5,455.36, 7,528 and 3,097.92 is: 4,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.36 : 7,528 = 3,097.92 : x
  2. Step 2: Convert to fraction form
    5,455.36/7,528 = 3,097.92/x
  3. Step 3: Cross multiply
    5,455.36x = 7,528 × 3,097.92
  4. Step 4: Simplify right side
    5,455.36x = 23,321,141.76
  5. Step 5: Solve for x
    x = 23,321,141.76/5,455.36
  6. Step 6: Final answer
    x = 4,274.90

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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.