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Finding the Fourth Proportional to 4,097.52, 6,148.31 and 1,903.64

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Solution

The fourth proportional to 4,097.52, 6,148.31 and 1,903.64 is: 2,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.52 : 6,148.31 = 1,903.64 : x
  2. Step 2: Convert to fraction form
    4,097.52/6,148.31 = 1,903.64/x
  3. Step 3: Cross multiply
    4,097.52x = 6,148.31 × 1,903.64
  4. Step 4: Simplify right side
    4,097.52x = 11,704,128.59
  5. Step 5: Solve for x
    x = 11,704,128.59/4,097.52
  6. Step 6: Final answer
    x = 2,856.39

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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.