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Finding the Fourth Proportional to 4,175.52, 6,263.60 and 1,097.52

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Solution

The fourth proportional to 4,175.52, 6,263.60 and 1,097.52 is: 1,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.52 : 6,263.60 = 1,097.52 : x
  2. Step 2: Convert to fraction form
    4,175.52/6,263.60 = 1,097.52/x
  3. Step 3: Cross multiply
    4,175.52x = 6,263.60 × 1,097.52
  4. Step 4: Simplify right side
    4,175.52x = 6,874,426.27
  5. Step 5: Solve for x
    x = 6,874,426.27/4,175.52
  6. Step 6: Final answer
    x = 1,646.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.