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Finding the Fourth Proportional to 3,762.40, 5,643.60 and 2,790.40

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Solution

The fourth proportional to 3,762.40, 5,643.60 and 2,790.40 is: 4,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.40 : 5,643.60 = 2,790.40 : x
  2. Step 2: Convert to fraction form
    3,762.40/5,643.60 = 2,790.40/x
  3. Step 3: Cross multiply
    3,762.40x = 5,643.60 × 2,790.40
  4. Step 4: Simplify right side
    3,762.40x = 15,747,901.44
  5. Step 5: Solve for x
    x = 15,747,901.44/3,762.40
  6. Step 6: Final answer
    x = 4,185.60

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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.