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Finding the Fourth Proportional to 5,582.88, 7,705.76 and 3,224.68

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Solution

The fourth proportional to 5,582.88, 7,705.76 and 3,224.68 is: 4,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.88 : 7,705.76 = 3,224.68 : x
  2. Step 2: Convert to fraction form
    5,582.88/7,705.76 = 3,224.68/x
  3. Step 3: Cross multiply
    5,582.88x = 7,705.76 × 3,224.68
  4. Step 4: Simplify right side
    5,582.88x = 24,848,610.16
  5. Step 5: Solve for x
    x = 24,848,610.16/5,582.88
  6. Step 6: Final answer
    x = 4,450.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.