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Finding the Fourth Proportional to 5,223.47, 7,837.00 and 4,449.33

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Solution

The fourth proportional to 5,223.47, 7,837.00 and 4,449.33 is: 6,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.47 : 7,837.00 = 4,449.33 : x
  2. Step 2: Convert to fraction form
    5,223.47/7,837.00 = 4,449.33/x
  3. Step 3: Cross multiply
    5,223.47x = 7,837.00 × 4,449.33
  4. Step 4: Simplify right side
    5,223.47x = 34,869,388.09
  5. Step 5: Solve for x
    x = 34,869,388.09/5,223.47
  6. Step 6: Final answer
    x = 6,675.53

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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.