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Finding the Fourth Proportional to 5,782.88, 7,980.38 and 3,688.22

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Solution

The fourth proportional to 5,782.88, 7,980.38 and 3,688.22 is: 5,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.88 : 7,980.38 = 3,688.22 : x
  2. Step 2: Convert to fraction form
    5,782.88/7,980.38 = 3,688.22/x
  3. Step 3: Cross multiply
    5,782.88x = 7,980.38 × 3,688.22
  4. Step 4: Simplify right side
    5,782.88x = 29,433,338.78
  5. Step 5: Solve for x
    x = 29,433,338.78/5,782.88
  6. Step 6: Final answer
    x = 5,089.74

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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.