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Finding the Fourth Proportional to 3,788.19, 5,683.68 and 1,596.69

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Solution

The fourth proportional to 3,788.19, 5,683.68 and 1,596.69 is: 2,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.19 : 5,683.68 = 1,596.69 : x
  2. Step 2: Convert to fraction form
    3,788.19/5,683.68 = 1,596.69/x
  3. Step 3: Cross multiply
    3,788.19x = 5,683.68 × 1,596.69
  4. Step 4: Simplify right side
    3,788.19x = 9,075,075.02
  5. Step 5: Solve for x
    x = 9,075,075.02/3,788.19
  6. Step 6: Final answer
    x = 2,395.62

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