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Finding the Fourth Proportional to 5,579.94, 7,700.32 and 3,095.94

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Solution

The fourth proportional to 5,579.94, 7,700.32 and 3,095.94 is: 4,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.94 : 7,700.32 = 3,095.94 : x
  2. Step 2: Convert to fraction form
    5,579.94/7,700.32 = 3,095.94/x
  3. Step 3: Cross multiply
    5,579.94x = 7,700.32 × 3,095.94
  4. Step 4: Simplify right side
    5,579.94x = 23,839,713.22
  5. Step 5: Solve for x
    x = 23,839,713.22/5,579.94
  6. Step 6: Final answer
    x = 4,272.40

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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.