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Finding the Fourth Proportional to 4,657.32, 6,977.31 and 2,314.65

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Solution

The fourth proportional to 4,657.32, 6,977.31 and 2,314.65 is: 3,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.32 : 6,977.31 = 2,314.65 : x
  2. Step 2: Convert to fraction form
    4,657.32/6,977.31 = 2,314.65/x
  3. Step 3: Cross multiply
    4,657.32x = 6,977.31 × 2,314.65
  4. Step 4: Simplify right side
    4,657.32x = 16,150,030.59
  5. Step 5: Solve for x
    x = 16,150,030.59/4,657.32
  6. Step 6: Final answer
    x = 3,467.67

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