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Finding the Fourth Proportional to 5,842.79, 8,048.94 and 5,000.80

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Solution

The fourth proportional to 5,842.79, 8,048.94 and 5,000.80 is: 6,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.79 : 8,048.94 = 5,000.80 : x
  2. Step 2: Convert to fraction form
    5,842.79/8,048.94 = 5,000.80/x
  3. Step 3: Cross multiply
    5,842.79x = 8,048.94 × 5,000.80
  4. Step 4: Simplify right side
    5,842.79x = 40,251,139.15
  5. Step 5: Solve for x
    x = 40,251,139.15/5,842.79
  6. Step 6: Final answer
    x = 6,889.03

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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.