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Finding the Fourth Proportional to 6,514.49, 8,989.57 and 4,156.38

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Solution

The fourth proportional to 6,514.49, 8,989.57 and 4,156.38 is: 5,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.49 : 8,989.57 = 4,156.38 : x
  2. Step 2: Convert to fraction form
    6,514.49/8,989.57 = 4,156.38/x
  3. Step 3: Cross multiply
    6,514.49x = 8,989.57 × 4,156.38
  4. Step 4: Simplify right side
    6,514.49x = 37,364,003.23
  5. Step 5: Solve for x
    x = 37,364,003.23/6,514.49
  6. Step 6: Final answer
    x = 5,735.52

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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.