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Finding the Fourth Proportional to 5,426.94, 7,488.72 and 3,068.58

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Solution

The fourth proportional to 5,426.94, 7,488.72 and 3,068.58 is: 4,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.94 : 7,488.72 = 3,068.58 : x
  2. Step 2: Convert to fraction form
    5,426.94/7,488.72 = 3,068.58/x
  3. Step 3: Cross multiply
    5,426.94x = 7,488.72 × 3,068.58
  4. Step 4: Simplify right side
    5,426.94x = 22,979,736.42
  5. Step 5: Solve for x
    x = 22,979,736.42/5,426.94
  6. Step 6: Final answer
    x = 4,234.38

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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.