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Finding the Fourth Proportional to 4,026, 5,558.76 and 2,781.84

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Solution

The fourth proportional to 4,026, 5,558.76 and 2,781.84 is: 3,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026 : 5,558.76 = 2,781.84 : x
  2. Step 2: Convert to fraction form
    4,026/5,558.76 = 2,781.84/x
  3. Step 3: Cross multiply
    4,026x = 5,558.76 × 2,781.84
  4. Step 4: Simplify right side
    4,026x = 15,463,580.92
  5. Step 5: Solve for x
    x = 15,463,580.92/4,026
  6. Step 6: Final answer
    x = 3,840.93

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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.