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Finding the Fourth Proportional to 5,682.36, 7,838.46 and 3,324

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Solution

The fourth proportional to 5,682.36, 7,838.46 and 3,324 is: 4,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.36 : 7,838.46 = 3,324 : x
  2. Step 2: Convert to fraction form
    5,682.36/7,838.46 = 3,324/x
  3. Step 3: Cross multiply
    5,682.36x = 7,838.46 × 3,324
  4. Step 4: Simplify right side
    5,682.36x = 26,055,041.04
  5. Step 5: Solve for x
    x = 26,055,041.04/5,682.36
  6. Step 6: Final answer
    x = 4,585.25

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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.