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Finding the Fourth Proportional to 4,656.40, 6,978.08 and 2,577.36

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Solution

The fourth proportional to 4,656.40, 6,978.08 and 2,577.36 is: 3,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.40 : 6,978.08 = 2,577.36 : x
  2. Step 2: Convert to fraction form
    4,656.40/6,978.08 = 2,577.36/x
  3. Step 3: Cross multiply
    4,656.40x = 6,978.08 × 2,577.36
  4. Step 4: Simplify right side
    4,656.40x = 17,985,024.27
  5. Step 5: Solve for x
    x = 17,985,024.27/4,656.40
  6. Step 6: Final answer
    x = 3,862.43

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