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Finding the Fourth Proportional to 4,535.46, 6,803.52 and 1,900.32

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Solution

The fourth proportional to 4,535.46, 6,803.52 and 1,900.32 is: 2,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.46 : 6,803.52 = 1,900.32 : x
  2. Step 2: Convert to fraction form
    4,535.46/6,803.52 = 1,900.32/x
  3. Step 3: Cross multiply
    4,535.46x = 6,803.52 × 1,900.32
  4. Step 4: Simplify right side
    4,535.46x = 12,928,865.13
  5. Step 5: Solve for x
    x = 12,928,865.13/4,535.46
  6. Step 6: Final answer
    x = 2,850.62

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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.