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Finding the Fourth Proportional to 6,190, 8,542.65 and 3,537.35

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Solution

The fourth proportional to 6,190, 8,542.65 and 3,537.35 is: 4,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190 : 8,542.65 = 3,537.35 : x
  2. Step 2: Convert to fraction form
    6,190/8,542.65 = 3,537.35/x
  3. Step 3: Cross multiply
    6,190x = 8,542.65 × 3,537.35
  4. Step 4: Simplify right side
    6,190x = 30,218,342.98
  5. Step 5: Solve for x
    x = 30,218,342.98/6,190
  6. Step 6: Final answer
    x = 4,881.80

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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.