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Finding the Fourth Proportional to 5,300.43, 7,315.68 and 3,706.65

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Solution

The fourth proportional to 5,300.43, 7,315.68 and 3,706.65 is: 5,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.43 : 7,315.68 = 3,706.65 : x
  2. Step 2: Convert to fraction form
    5,300.43/7,315.68 = 3,706.65/x
  3. Step 3: Cross multiply
    5,300.43x = 7,315.68 × 3,706.65
  4. Step 4: Simplify right side
    5,300.43x = 27,116,665.27
  5. Step 5: Solve for x
    x = 27,116,665.27/5,300.43
  6. Step 6: Final answer
    x = 5,115.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.