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Finding the Fourth Proportional to 5,306.14, 7,323.06 and 3,068.62

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Solution

The fourth proportional to 5,306.14, 7,323.06 and 3,068.62 is: 4,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.14 : 7,323.06 = 3,068.62 : x
  2. Step 2: Convert to fraction form
    5,306.14/7,323.06 = 3,068.62/x
  3. Step 3: Cross multiply
    5,306.14x = 7,323.06 × 3,068.62
  4. Step 4: Simplify right side
    5,306.14x = 22,471,688.38
  5. Step 5: Solve for x
    x = 22,471,688.38/5,306.14
  6. Step 6: Final answer
    x = 4,235.03

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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.