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Finding the Fourth Proportional to 5,089.97, 7,024.47 and 2,851.99

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Solution

The fourth proportional to 5,089.97, 7,024.47 and 2,851.99 is: 3,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.97 : 7,024.47 = 2,851.99 : x
  2. Step 2: Convert to fraction form
    5,089.97/7,024.47 = 2,851.99/x
  3. Step 3: Cross multiply
    5,089.97x = 7,024.47 × 2,851.99
  4. Step 4: Simplify right side
    5,089.97x = 20,033,683.07
  5. Step 5: Solve for x
    x = 20,033,683.07/5,089.97
  6. Step 6: Final answer
    x = 3,935.91

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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.