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Finding the Fourth Proportional to 5,306.70, 7,323.38 and 3,068.67

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Solution

The fourth proportional to 5,306.70, 7,323.38 and 3,068.67 is: 4,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.70 : 7,323.38 = 3,068.67 : x
  2. Step 2: Convert to fraction form
    5,306.70/7,323.38 = 3,068.67/x
  3. Step 3: Cross multiply
    5,306.70x = 7,323.38 × 3,068.67
  4. Step 4: Simplify right side
    5,306.70x = 22,473,036.50
  5. Step 5: Solve for x
    x = 22,473,036.50/5,306.70
  6. Step 6: Final answer
    x = 4,234.84

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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.