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Finding the Fourth Proportional to 4,829.94, 7,255.98 and 2,883.51

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Solution

The fourth proportional to 4,829.94, 7,255.98 and 2,883.51 is: 4,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.94 : 7,255.98 = 2,883.51 : x
  2. Step 2: Convert to fraction form
    4,829.94/7,255.98 = 2,883.51/x
  3. Step 3: Cross multiply
    4,829.94x = 7,255.98 × 2,883.51
  4. Step 4: Simplify right side
    4,829.94x = 20,922,690.89
  5. Step 5: Solve for x
    x = 20,922,690.89/4,829.94
  6. Step 6: Final answer
    x = 4,331.87

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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.