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Finding the Fourth Proportional to 3,829.41, 5,746.95 and 3,580.74

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Solution

The fourth proportional to 3,829.41, 5,746.95 and 3,580.74 is: 5,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.41 : 5,746.95 = 3,580.74 : x
  2. Step 2: Convert to fraction form
    3,829.41/5,746.95 = 3,580.74/x
  3. Step 3: Cross multiply
    3,829.41x = 5,746.95 × 3,580.74
  4. Step 4: Simplify right side
    3,829.41x = 20,578,333.74
  5. Step 5: Solve for x
    x = 20,578,333.74/3,829.41
  6. Step 6: Final answer
    x = 5,373.76

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