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Finding the Fourth Proportional to 3,494.94, 5,242.46 and 1,387.09

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Solution

The fourth proportional to 3,494.94, 5,242.46 and 1,387.09 is: 2,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.94 : 5,242.46 = 1,387.09 : x
  2. Step 2: Convert to fraction form
    3,494.94/5,242.46 = 1,387.09/x
  3. Step 3: Cross multiply
    3,494.94x = 5,242.46 × 1,387.09
  4. Step 4: Simplify right side
    3,494.94x = 7,271,730.69
  5. Step 5: Solve for x
    x = 7,271,730.69/3,494.94
  6. Step 6: Final answer
    x = 2,080.65

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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.