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Finding the Fourth Proportional to 4,084.50, 6,089.58 and 3,836.64

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Solution

The fourth proportional to 4,084.50, 6,089.58 and 3,836.64 is: 5,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.50 : 6,089.58 = 3,836.64 : x
  2. Step 2: Convert to fraction form
    4,084.50/6,089.58 = 3,836.64/x
  3. Step 3: Cross multiply
    4,084.50x = 6,089.58 × 3,836.64
  4. Step 4: Simplify right side
    4,084.50x = 23,363,526.21
  5. Step 5: Solve for x
    x = 23,363,526.21/4,084.50
  6. Step 6: Final answer
    x = 5,720.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.