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Finding the Fourth Proportional to 5,485.68, 8,223.48 and 2,020.50

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Solution

The fourth proportional to 5,485.68, 8,223.48 and 2,020.50 is: 3,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.68 : 8,223.48 = 2,020.50 : x
  2. Step 2: Convert to fraction form
    5,485.68/8,223.48 = 2,020.50/x
  3. Step 3: Cross multiply
    5,485.68x = 8,223.48 × 2,020.50
  4. Step 4: Simplify right side
    5,485.68x = 16,615,541.34
  5. Step 5: Solve for x
    x = 16,615,541.34/5,485.68
  6. Step 6: Final answer
    x = 3,028.89

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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.