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Finding the Fourth Proportional to 4,932.78, 6,807.36 and 2,694.63

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Solution

The fourth proportional to 4,932.78, 6,807.36 and 2,694.63 is: 3,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.78 : 6,807.36 = 2,694.63 : x
  2. Step 2: Convert to fraction form
    4,932.78/6,807.36 = 2,694.63/x
  3. Step 3: Cross multiply
    4,932.78x = 6,807.36 × 2,694.63
  4. Step 4: Simplify right side
    4,932.78x = 18,343,352.11
  5. Step 5: Solve for x
    x = 18,343,352.11/4,932.78
  6. Step 6: Final answer
    x = 3,718.67

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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.