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Finding the Fourth Proportional to 5,342.88, 8,015.93 and 1,594.78

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Solution

The fourth proportional to 5,342.88, 8,015.93 and 1,594.78 is: 2,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.88 : 8,015.93 = 1,594.78 : x
  2. Step 2: Convert to fraction form
    5,342.88/8,015.93 = 1,594.78/x
  3. Step 3: Cross multiply
    5,342.88x = 8,015.93 × 1,594.78
  4. Step 4: Simplify right side
    5,342.88x = 12,783,647.87
  5. Step 5: Solve for x
    x = 12,783,647.87/5,342.88
  6. Step 6: Final answer
    x = 2,392.65

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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.