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Finding the Fourth Proportional to 4,233, 5,840.19 and 2,742.06

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Solution

The fourth proportional to 4,233, 5,840.19 and 2,742.06 is: 3,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233 : 5,840.19 = 2,742.06 : x
  2. Step 2: Convert to fraction form
    4,233/5,840.19 = 2,742.06/x
  3. Step 3: Cross multiply
    4,233x = 5,840.19 × 2,742.06
  4. Step 4: Simplify right side
    4,233x = 16,014,151.39
  5. Step 5: Solve for x
    x = 16,014,151.39/4,233
  6. Step 6: Final answer
    x = 3,783.17

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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.