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Finding the Fourth Proportional to 5,989.86, 8,257.95 and 4,194.93

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Solution

The fourth proportional to 5,989.86, 8,257.95 and 4,194.93 is: 5,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.86 : 8,257.95 = 4,194.93 : x
  2. Step 2: Convert to fraction form
    5,989.86/8,257.95 = 4,194.93/x
  3. Step 3: Cross multiply
    5,989.86x = 8,257.95 × 4,194.93
  4. Step 4: Simplify right side
    5,989.86x = 34,641,522.19
  5. Step 5: Solve for x
    x = 34,641,522.19/5,989.86
  6. Step 6: Final answer
    x = 5,783.36

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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.