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Finding the Fourth Proportional to 3,496.46, 5,244.73 and 1,031.33

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Solution

The fourth proportional to 3,496.46, 5,244.73 and 1,031.33 is: 1,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.46 : 5,244.73 = 1,031.33 : x
  2. Step 2: Convert to fraction form
    3,496.46/5,244.73 = 1,031.33/x
  3. Step 3: Cross multiply
    3,496.46x = 5,244.73 × 1,031.33
  4. Step 4: Simplify right side
    3,496.46x = 5,409,057.92
  5. Step 5: Solve for x
    x = 5,409,057.92/3,496.46
  6. Step 6: Final answer
    x = 1,547.01

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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.