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Finding the Fourth Proportional to 5,842.87, 8,042.70 and 5,095.51

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Solution

The fourth proportional to 5,842.87, 8,042.70 and 5,095.51 is: 7,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.87 : 8,042.70 = 5,095.51 : x
  2. Step 2: Convert to fraction form
    5,842.87/8,042.70 = 5,095.51/x
  3. Step 3: Cross multiply
    5,842.87x = 8,042.70 × 5,095.51
  4. Step 4: Simplify right side
    5,842.87x = 40,981,658.28
  5. Step 5: Solve for x
    x = 40,981,658.28/5,842.87
  6. Step 6: Final answer
    x = 7,013.96

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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.