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Finding the Fourth Proportional to 3,511.58, 5,266.08 and 1,319.72

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Solution

The fourth proportional to 3,511.58, 5,266.08 and 1,319.72 is: 1,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.58 : 5,266.08 = 1,319.72 : x
  2. Step 2: Convert to fraction form
    3,511.58/5,266.08 = 1,319.72/x
  3. Step 3: Cross multiply
    3,511.58x = 5,266.08 × 1,319.72
  4. Step 4: Simplify right side
    3,511.58x = 6,949,724.77
  5. Step 5: Solve for x
    x = 6,949,724.77/3,511.58
  6. Step 6: Final answer
    x = 1,979.09

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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.