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Finding the Fourth Proportional to 4,628.24, 6,939.62 and 1,856.22

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Solution

The fourth proportional to 4,628.24, 6,939.62 and 1,856.22 is: 2,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.24 : 6,939.62 = 1,856.22 : x
  2. Step 2: Convert to fraction form
    4,628.24/6,939.62 = 1,856.22/x
  3. Step 3: Cross multiply
    4,628.24x = 6,939.62 × 1,856.22
  4. Step 4: Simplify right side
    4,628.24x = 12,881,443.53
  5. Step 5: Solve for x
    x = 12,881,443.53/4,628.24
  6. Step 6: Final answer
    x = 2,783.23

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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.