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Finding the Fourth Proportional to 5,091.42, 7,637.02 and 2,492.54

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Solution

The fourth proportional to 5,091.42, 7,637.02 and 2,492.54 is: 3,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.42 : 7,637.02 = 2,492.54 : x
  2. Step 2: Convert to fraction form
    5,091.42/7,637.02 = 2,492.54/x
  3. Step 3: Cross multiply
    5,091.42x = 7,637.02 × 2,492.54
  4. Step 4: Simplify right side
    5,091.42x = 19,035,577.83
  5. Step 5: Solve for x
    x = 19,035,577.83/5,091.42
  6. Step 6: Final answer
    x = 3,738.76

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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.