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Finding the Fourth Proportional to 5,208.86, 7,813.65 and 1,922.19

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Solution

The fourth proportional to 5,208.86, 7,813.65 and 1,922.19 is: 2,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.86 : 7,813.65 = 1,922.19 : x
  2. Step 2: Convert to fraction form
    5,208.86/7,813.65 = 1,922.19/x
  3. Step 3: Cross multiply
    5,208.86x = 7,813.65 × 1,922.19
  4. Step 4: Simplify right side
    5,208.86x = 15,019,319.89
  5. Step 5: Solve for x
    x = 15,019,319.89/5,208.86
  6. Step 6: Final answer
    x = 2,883.42

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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.