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Finding the Fourth Proportional to 5,089.84, 7,024.07 and 2,851.71

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Solution

The fourth proportional to 5,089.84, 7,024.07 and 2,851.71 is: 3,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.84 : 7,024.07 = 2,851.71 : x
  2. Step 2: Convert to fraction form
    5,089.84/7,024.07 = 2,851.71/x
  3. Step 3: Cross multiply
    5,089.84x = 7,024.07 × 2,851.71
  4. Step 4: Simplify right side
    5,089.84x = 20,030,575.41
  5. Step 5: Solve for x
    x = 20,030,575.41/5,089.84
  6. Step 6: Final answer
    x = 3,935.41

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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.