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Finding the Fourth Proportional to 3,783.98, 5,675.10 and 1,444.26

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Solution

The fourth proportional to 3,783.98, 5,675.10 and 1,444.26 is: 2,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.98 : 5,675.10 = 1,444.26 : x
  2. Step 2: Convert to fraction form
    3,783.98/5,675.10 = 1,444.26/x
  3. Step 3: Cross multiply
    3,783.98x = 5,675.10 × 1,444.26
  4. Step 4: Simplify right side
    3,783.98x = 8,196,319.93
  5. Step 5: Solve for x
    x = 8,196,319.93/3,783.98
  6. Step 6: Final answer
    x = 2,166.06

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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.