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Finding the Fourth Proportional to 4,976.07, 7,464.06 and 1,513.32

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Solution

The fourth proportional to 4,976.07, 7,464.06 and 1,513.32 is: 2,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.07 : 7,464.06 = 1,513.32 : x
  2. Step 2: Convert to fraction form
    4,976.07/7,464.06 = 1,513.32/x
  3. Step 3: Cross multiply
    4,976.07x = 7,464.06 × 1,513.32
  4. Step 4: Simplify right side
    4,976.07x = 11,295,511.28
  5. Step 5: Solve for x
    x = 11,295,511.28/4,976.07
  6. Step 6: Final answer
    x = 2,269.97

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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.