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Finding the Fourth Proportional to 5,842.84, 8,062.95 and 3,190.21

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Solution

The fourth proportional to 5,842.84, 8,062.95 and 3,190.21 is: 4,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.84 : 8,062.95 = 3,190.21 : x
  2. Step 2: Convert to fraction form
    5,842.84/8,062.95 = 3,190.21/x
  3. Step 3: Cross multiply
    5,842.84x = 8,062.95 × 3,190.21
  4. Step 4: Simplify right side
    5,842.84x = 25,722,503.72
  5. Step 5: Solve for x
    x = 25,722,503.72/5,842.84
  6. Step 6: Final answer
    x = 4,402.40

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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.