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Finding the Fourth Proportional to 3,762.52, 5,643.33 and 989.41

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Solution

The fourth proportional to 3,762.52, 5,643.33 and 989.41 is: 1,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.52 : 5,643.33 = 989.41 : x
  2. Step 2: Convert to fraction form
    3,762.52/5,643.33 = 989.41/x
  3. Step 3: Cross multiply
    3,762.52x = 5,643.33 × 989.41
  4. Step 4: Simplify right side
    3,762.52x = 5,583,544.02
  5. Step 5: Solve for x
    x = 5,583,544.02/3,762.52
  6. Step 6: Final answer
    x = 1,483.99

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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.