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Finding the Fourth Proportional to 5,520.96, 8,262 and 4,212

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Solution

The fourth proportional to 5,520.96, 8,262 and 4,212 is: 6,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520.96 : 8,262 = 4,212 : x
  2. Step 2: Convert to fraction form
    5,520.96/8,262 = 4,212/x
  3. Step 3: Cross multiply
    5,520.96x = 8,262 × 4,212
  4. Step 4: Simplify right side
    5,520.96x = 34,799,544
  5. Step 5: Solve for x
    x = 34,799,544/5,520.96
  6. Step 6: Final answer
    x = 6,303.17

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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.