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Finding the Fourth Proportional to 5,443.37, 7,516.08 and 4,182.42

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Solution

The fourth proportional to 5,443.37, 7,516.08 and 4,182.42 is: 5,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.37 : 7,516.08 = 4,182.42 : x
  2. Step 2: Convert to fraction form
    5,443.37/7,516.08 = 4,182.42/x
  3. Step 3: Cross multiply
    5,443.37x = 7,516.08 × 4,182.42
  4. Step 4: Simplify right side
    5,443.37x = 31,435,403.31
  5. Step 5: Solve for x
    x = 31,435,403.31/5,443.37
  6. Step 6: Final answer
    x = 5,774.99

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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.