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Finding the Fourth Proportional to 2,954.46, 4,427.64 and 2,865.77

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Solution

The fourth proportional to 2,954.46, 4,427.64 and 2,865.77 is: 4,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.46 : 4,427.64 = 2,865.77 : x
  2. Step 2: Convert to fraction form
    2,954.46/4,427.64 = 2,865.77/x
  3. Step 3: Cross multiply
    2,954.46x = 4,427.64 × 2,865.77
  4. Step 4: Simplify right side
    2,954.46x = 12,688,597.88
  5. Step 5: Solve for x
    x = 12,688,597.88/2,954.46
  6. Step 6: Final answer
    x = 4,294.73

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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.