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Finding the Fourth Proportional to 3,578.66, 5,368.01 and 1,629.50

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Solution

The fourth proportional to 3,578.66, 5,368.01 and 1,629.50 is: 2,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.66 : 5,368.01 = 1,629.50 : x
  2. Step 2: Convert to fraction form
    3,578.66/5,368.01 = 1,629.50/x
  3. Step 3: Cross multiply
    3,578.66x = 5,368.01 × 1,629.50
  4. Step 4: Simplify right side
    3,578.66x = 8,747,172.30
  5. Step 5: Solve for x
    x = 8,747,172.30/3,578.66
  6. Step 6: Final answer
    x = 2,444.26

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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.