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Finding the Fourth Proportional to 5,093.93, 7,029.96 and 2,856

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Solution

The fourth proportional to 5,093.93, 7,029.96 and 2,856 is: 3,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.93 : 7,029.96 = 2,856 : x
  2. Step 2: Convert to fraction form
    5,093.93/7,029.96 = 2,856/x
  3. Step 3: Cross multiply
    5,093.93x = 7,029.96 × 2,856
  4. Step 4: Simplify right side
    5,093.93x = 20,077,565.76
  5. Step 5: Solve for x
    x = 20,077,565.76/5,093.93
  6. Step 6: Final answer
    x = 3,941.47

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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.