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Finding the Fourth Proportional to 3,742.98, 5,165.30 and 2,041.50

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Solution

The fourth proportional to 3,742.98, 5,165.30 and 2,041.50 is: 2,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.98 : 5,165.30 = 2,041.50 : x
  2. Step 2: Convert to fraction form
    3,742.98/5,165.30 = 2,041.50/x
  3. Step 3: Cross multiply
    3,742.98x = 5,165.30 × 2,041.50
  4. Step 4: Simplify right side
    3,742.98x = 10,544,959.95
  5. Step 5: Solve for x
    x = 10,544,959.95/3,742.98
  6. Step 6: Final answer
    x = 2,817.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.