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Finding the Fourth Proportional to 4,657.48, 6,976.64 and 2,461.57

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Solution

The fourth proportional to 4,657.48, 6,976.64 and 2,461.57 is: 3,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.48 : 6,976.64 = 2,461.57 : x
  2. Step 2: Convert to fraction form
    4,657.48/6,976.64 = 2,461.57/x
  3. Step 3: Cross multiply
    4,657.48x = 6,976.64 × 2,461.57
  4. Step 4: Simplify right side
    4,657.48x = 17,173,475.42
  5. Step 5: Solve for x
    x = 17,173,475.42/4,657.48
  6. Step 6: Final answer
    x = 3,687.29

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