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Finding the Fourth Proportional to 3,578.42, 5,365.22 and 1,384.58

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Solution

The fourth proportional to 3,578.42, 5,365.22 and 1,384.58 is: 2,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.42 : 5,365.22 = 1,384.58 : x
  2. Step 2: Convert to fraction form
    3,578.42/5,365.22 = 1,384.58/x
  3. Step 3: Cross multiply
    3,578.42x = 5,365.22 × 1,384.58
  4. Step 4: Simplify right side
    3,578.42x = 7,428,542.56
  5. Step 5: Solve for x
    x = 7,428,542.56/3,578.42
  6. Step 6: Final answer
    x = 2,075.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.