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Finding the Fourth Proportional to 5,205.32, 7,803.87 and 1,916.61

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Solution

The fourth proportional to 5,205.32, 7,803.87 and 1,916.61 is: 2,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.32 : 7,803.87 = 1,916.61 : x
  2. Step 2: Convert to fraction form
    5,205.32/7,803.87 = 1,916.61/x
  3. Step 3: Cross multiply
    5,205.32x = 7,803.87 × 1,916.61
  4. Step 4: Simplify right side
    5,205.32x = 14,956,975.28
  5. Step 5: Solve for x
    x = 14,956,975.28/5,205.32
  6. Step 6: Final answer
    x = 2,873.40

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