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Finding the Fourth Proportional to 5,957.52, 8,214 and 4,834.32

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Solution

The fourth proportional to 5,957.52, 8,214 and 4,834.32 is: 6,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.52 : 8,214 = 4,834.32 : x
  2. Step 2: Convert to fraction form
    5,957.52/8,214 = 4,834.32/x
  3. Step 3: Cross multiply
    5,957.52x = 8,214 × 4,834.32
  4. Step 4: Simplify right side
    5,957.52x = 39,709,104.48
  5. Step 5: Solve for x
    x = 39,709,104.48/5,957.52
  6. Step 6: Final answer
    x = 6,665.37

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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.