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Finding the Fourth Proportional to 4,240.84, 5,852.36 and 2,377.84

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Solution

The fourth proportional to 4,240.84, 5,852.36 and 2,377.84 is: 3,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.84 : 5,852.36 = 2,377.84 : x
  2. Step 2: Convert to fraction form
    4,240.84/5,852.36 = 2,377.84/x
  3. Step 3: Cross multiply
    4,240.84x = 5,852.36 × 2,377.84
  4. Step 4: Simplify right side
    4,240.84x = 13,915,975.70
  5. Step 5: Solve for x
    x = 13,915,975.70/4,240.84
  6. Step 6: Final answer
    x = 3,281.42

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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.