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Finding the Fourth Proportional to 5,200.94, 7,801.39 and 2,426.07

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Solution

The fourth proportional to 5,200.94, 7,801.39 and 2,426.07 is: 3,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.94 : 7,801.39 = 2,426.07 : x
  2. Step 2: Convert to fraction form
    5,200.94/7,801.39 = 2,426.07/x
  3. Step 3: Cross multiply
    5,200.94x = 7,801.39 × 2,426.07
  4. Step 4: Simplify right side
    5,200.94x = 18,926,706.11
  5. Step 5: Solve for x
    x = 18,926,706.11/5,200.94
  6. Step 6: Final answer
    x = 3,639.10

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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.