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Finding the Fourth Proportional to 7,542.29, 10,408.53 and 4,185

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Solution

The fourth proportional to 7,542.29, 10,408.53 and 4,185 is: 5,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.29 : 10,408.53 = 4,185 : x
  2. Step 2: Convert to fraction form
    7,542.29/10,408.53 = 4,185/x
  3. Step 3: Cross multiply
    7,542.29x = 10,408.53 × 4,185
  4. Step 4: Simplify right side
    7,542.29x = 43,559,698.05
  5. Step 5: Solve for x
    x = 43,559,698.05/7,542.29
  6. Step 6: Final answer
    x = 5,775.39

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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.