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Finding the Fourth Proportional to 5,876.42, 8,814.56 and 2,954.07

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Solution

The fourth proportional to 5,876.42, 8,814.56 and 2,954.07 is: 4,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.42 : 8,814.56 = 2,954.07 : x
  2. Step 2: Convert to fraction form
    5,876.42/8,814.56 = 2,954.07/x
  3. Step 3: Cross multiply
    5,876.42x = 8,814.56 × 2,954.07
  4. Step 4: Simplify right side
    5,876.42x = 26,038,812.49
  5. Step 5: Solve for x
    x = 26,038,812.49/5,876.42
  6. Step 6: Final answer
    x = 4,431.07

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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.