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Finding the Fourth Proportional to 3,000.05, 4,500.09 and 1,538.40

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Solution

The fourth proportional to 3,000.05, 4,500.09 and 1,538.40 is: 2,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.05 : 4,500.09 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    3,000.05/4,500.09 = 1,538.40/x
  3. Step 3: Cross multiply
    3,000.05x = 4,500.09 × 1,538.40
  4. Step 4: Simplify right side
    3,000.05x = 6,922,938.46
  5. Step 5: Solve for x
    x = 6,922,938.46/3,000.05
  6. Step 6: Final answer
    x = 2,307.61

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