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Finding the Fourth Proportional to 2,865.42, 4,263.81 and 2,855.70

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Solution

The fourth proportional to 2,865.42, 4,263.81 and 2,855.70 is: 4,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.42 : 4,263.81 = 2,855.70 : x
  2. Step 2: Convert to fraction form
    2,865.42/4,263.81 = 2,855.70/x
  3. Step 3: Cross multiply
    2,865.42x = 4,263.81 × 2,855.70
  4. Step 4: Simplify right side
    2,865.42x = 12,176,162.22
  5. Step 5: Solve for x
    x = 12,176,162.22/2,865.42
  6. Step 6: Final answer
    x = 4,249.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.