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Finding the Fourth Proportional to 4,573.76, 6,862.64 and 1,978.40

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Solution

The fourth proportional to 4,573.76, 6,862.64 and 1,978.40 is: 2,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.76 : 6,862.64 = 1,978.40 : x
  2. Step 2: Convert to fraction form
    4,573.76/6,862.64 = 1,978.40/x
  3. Step 3: Cross multiply
    4,573.76x = 6,862.64 × 1,978.40
  4. Step 4: Simplify right side
    4,573.76x = 13,577,046.98
  5. Step 5: Solve for x
    x = 13,577,046.98/4,573.76
  6. Step 6: Final answer
    x = 2,968.47

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