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Finding the Fourth Proportional to 4,534.24, 6,269.52 and 4,324

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Solution

The fourth proportional to 4,534.24, 6,269.52 and 4,324 is: 5,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.24 : 6,269.52 = 4,324 : x
  2. Step 2: Convert to fraction form
    4,534.24/6,269.52 = 4,324/x
  3. Step 3: Cross multiply
    4,534.24x = 6,269.52 × 4,324
  4. Step 4: Simplify right side
    4,534.24x = 27,109,404.48
  5. Step 5: Solve for x
    x = 27,109,404.48/4,534.24
  6. Step 6: Final answer
    x = 5,978.82

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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.