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Finding the Fourth Proportional to 4,976.93, 7,464.49 and 1,856.23

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Solution

The fourth proportional to 4,976.93, 7,464.49 and 1,856.23 is: 2,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.93 : 7,464.49 = 1,856.23 : x
  2. Step 2: Convert to fraction form
    4,976.93/7,464.49 = 1,856.23/x
  3. Step 3: Cross multiply
    4,976.93x = 7,464.49 × 1,856.23
  4. Step 4: Simplify right side
    4,976.93x = 13,855,810.27
  5. Step 5: Solve for x
    x = 13,855,810.27/4,976.93
  6. Step 6: Final answer
    x = 2,784.01

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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.