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Finding the Fourth Proportional to 3,848.96, 5,775.06 and 1,509.68

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Solution

The fourth proportional to 3,848.96, 5,775.06 and 1,509.68 is: 2,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.96 : 5,775.06 = 1,509.68 : x
  2. Step 2: Convert to fraction form
    3,848.96/5,775.06 = 1,509.68/x
  3. Step 3: Cross multiply
    3,848.96x = 5,775.06 × 1,509.68
  4. Step 4: Simplify right side
    3,848.96x = 8,718,492.58
  5. Step 5: Solve for x
    x = 8,718,492.58/3,848.96
  6. Step 6: Final answer
    x = 2,265.16

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