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Finding the Fourth Proportional to 3,496.44, 5,242.62 and 1,417.44

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Solution

The fourth proportional to 3,496.44, 5,242.62 and 1,417.44 is: 2,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.44 : 5,242.62 = 1,417.44 : x
  2. Step 2: Convert to fraction form
    3,496.44/5,242.62 = 1,417.44/x
  3. Step 3: Cross multiply
    3,496.44x = 5,242.62 × 1,417.44
  4. Step 4: Simplify right side
    3,496.44x = 7,431,099.29
  5. Step 5: Solve for x
    x = 7,431,099.29/3,496.44
  6. Step 6: Final answer
    x = 2,125.33

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1.5x scale

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.