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Finding the Fourth Proportional to 5,402.94, 8,104.59 and 1,940.19

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Solution

The fourth proportional to 5,402.94, 8,104.59 and 1,940.19 is: 2,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.94 : 8,104.59 = 1,940.19 : x
  2. Step 2: Convert to fraction form
    5,402.94/8,104.59 = 1,940.19/x
  3. Step 3: Cross multiply
    5,402.94x = 8,104.59 × 1,940.19
  4. Step 4: Simplify right side
    5,402.94x = 15,724,444.47
  5. Step 5: Solve for x
    x = 15,724,444.47/5,402.94
  6. Step 6: Final answer
    x = 2,910.35

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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.