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Finding the Fourth Proportional to 5,300.91, 7,315.38 and 2,943

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Solution

The fourth proportional to 5,300.91, 7,315.38 and 2,943 is: 4,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.91 : 7,315.38 = 2,943 : x
  2. Step 2: Convert to fraction form
    5,300.91/7,315.38 = 2,943/x
  3. Step 3: Cross multiply
    5,300.91x = 7,315.38 × 2,943
  4. Step 4: Simplify right side
    5,300.91x = 21,529,163.34
  5. Step 5: Solve for x
    x = 21,529,163.34/5,300.91
  6. Step 6: Final answer
    x = 4,061.41

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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.