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Finding the Fourth Proportional to 3,494.74, 5,241.97 and 1,303.46

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Solution

The fourth proportional to 3,494.74, 5,241.97 and 1,303.46 is: 1,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.74 : 5,241.97 = 1,303.46 : x
  2. Step 2: Convert to fraction form
    3,494.74/5,241.97 = 1,303.46/x
  3. Step 3: Cross multiply
    3,494.74x = 5,241.97 × 1,303.46
  4. Step 4: Simplify right side
    3,494.74x = 6,832,694.96
  5. Step 5: Solve for x
    x = 6,832,694.96/3,494.74
  6. Step 6: Final answer
    x = 1,955.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.