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Finding the Fourth Proportional to 4,628.32, 6,943.44 and 2,165.92

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Solution

The fourth proportional to 4,628.32, 6,943.44 and 2,165.92 is: 3,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.32 : 6,943.44 = 2,165.92 : x
  2. Step 2: Convert to fraction form
    4,628.32/6,943.44 = 2,165.92/x
  3. Step 3: Cross multiply
    4,628.32x = 6,943.44 × 2,165.92
  4. Step 4: Simplify right side
    4,628.32x = 15,038,935.56
  5. Step 5: Solve for x
    x = 15,038,935.56/4,628.32
  6. Step 6: Final answer
    x = 3,249.33

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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.