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Finding the Fourth Proportional to 3,816.39, 5,725.95 and 2,353.84

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Solution

The fourth proportional to 3,816.39, 5,725.95 and 2,353.84 is: 3,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.39 : 5,725.95 = 2,353.84 : x
  2. Step 2: Convert to fraction form
    3,816.39/5,725.95 = 2,353.84/x
  3. Step 3: Cross multiply
    3,816.39x = 5,725.95 × 2,353.84
  4. Step 4: Simplify right side
    3,816.39x = 13,477,970.15
  5. Step 5: Solve for x
    x = 13,477,970.15/3,816.39
  6. Step 6: Final answer
    x = 3,531.60

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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.