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Finding the Fourth Proportional to 3,482.43, 5,223.75 and 1,016.99

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Solution

The fourth proportional to 3,482.43, 5,223.75 and 1,016.99 is: 1,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.43 : 5,223.75 = 1,016.99 : x
  2. Step 2: Convert to fraction form
    3,482.43/5,223.75 = 1,016.99/x
  3. Step 3: Cross multiply
    3,482.43x = 5,223.75 × 1,016.99
  4. Step 4: Simplify right side
    3,482.43x = 5,312,496.43
  5. Step 5: Solve for x
    x = 5,312,496.43/3,482.43
  6. Step 6: Final answer
    x = 1,525.51

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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.