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Finding the Fourth Proportional to 5,372.54, 7,417.72 and 4,111.34

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Solution

The fourth proportional to 5,372.54, 7,417.72 and 4,111.34 is: 5,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.54 : 7,417.72 = 4,111.34 : x
  2. Step 2: Convert to fraction form
    5,372.54/7,417.72 = 4,111.34/x
  3. Step 3: Cross multiply
    5,372.54x = 7,417.72 × 4,111.34
  4. Step 4: Simplify right side
    5,372.54x = 30,496,768.94
  5. Step 5: Solve for x
    x = 30,496,768.94/5,372.54
  6. Step 6: Final answer
    x = 5,676.42

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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.