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Finding the Fourth Proportional to 5,700.12, 8,538.80 and 3,746.40

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Solution

The fourth proportional to 5,700.12, 8,538.80 and 3,746.40 is: 5,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.12 : 8,538.80 = 3,746.40 : x
  2. Step 2: Convert to fraction form
    5,700.12/8,538.80 = 3,746.40/x
  3. Step 3: Cross multiply
    5,700.12x = 8,538.80 × 3,746.40
  4. Step 4: Simplify right side
    5,700.12x = 31,989,760.32
  5. Step 5: Solve for x
    x = 31,989,760.32/5,700.12
  6. Step 6: Final answer
    x = 5,612.12

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