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Finding the Fourth Proportional to 4,413, 6,089.94 and 2,757

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Solution

The fourth proportional to 4,413, 6,089.94 and 2,757 is: 3,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413 : 6,089.94 = 2,757 : x
  2. Step 2: Convert to fraction form
    4,413/6,089.94 = 2,757/x
  3. Step 3: Cross multiply
    4,413x = 6,089.94 × 2,757
  4. Step 4: Simplify right side
    4,413x = 16,789,964.58
  5. Step 5: Solve for x
    x = 16,789,964.58/4,413
  6. Step 6: Final answer
    x = 3,804.66

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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.