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Finding the Fourth Proportional to 3,870.61, 5,805.90 and 1,405.42

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Solution

The fourth proportional to 3,870.61, 5,805.90 and 1,405.42 is: 2,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.61 : 5,805.90 = 1,405.42 : x
  2. Step 2: Convert to fraction form
    3,870.61/5,805.90 = 1,405.42/x
  3. Step 3: Cross multiply
    3,870.61x = 5,805.90 × 1,405.42
  4. Step 4: Simplify right side
    3,870.61x = 8,159,727.98
  5. Step 5: Solve for x
    x = 8,159,727.98/3,870.61
  6. Step 6: Final answer
    x = 2,108.12

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