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Finding the Fourth Proportional to 4,562.84, 6,839.59 and 2,099.45

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Solution

The fourth proportional to 4,562.84, 6,839.59 and 2,099.45 is: 3,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.84 : 6,839.59 = 2,099.45 : x
  2. Step 2: Convert to fraction form
    4,562.84/6,839.59 = 2,099.45/x
  3. Step 3: Cross multiply
    4,562.84x = 6,839.59 × 2,099.45
  4. Step 4: Simplify right side
    4,562.84x = 14,359,377.23
  5. Step 5: Solve for x
    x = 14,359,377.23/4,562.84
  6. Step 6: Final answer
    x = 3,147.03

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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.