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Finding the Fourth Proportional to 5,301.68, 7,315.98 and 2,943.82

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Solution

The fourth proportional to 5,301.68, 7,315.98 and 2,943.82 is: 4,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.68 : 7,315.98 = 2,943.82 : x
  2. Step 2: Convert to fraction form
    5,301.68/7,315.98 = 2,943.82/x
  3. Step 3: Cross multiply
    5,301.68x = 7,315.98 × 2,943.82
  4. Step 4: Simplify right side
    5,301.68x = 21,536,928.24
  5. Step 5: Solve for x
    x = 21,536,928.24/5,301.68
  6. Step 6: Final answer
    x = 4,062.28

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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.