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Finding the Fourth Proportional to 6,111.39, 8,434.35 and 3,755.10

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Solution

The fourth proportional to 6,111.39, 8,434.35 and 3,755.10 is: 5,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.39 : 8,434.35 = 3,755.10 : x
  2. Step 2: Convert to fraction form
    6,111.39/8,434.35 = 3,755.10/x
  3. Step 3: Cross multiply
    6,111.39x = 8,434.35 × 3,755.10
  4. Step 4: Simplify right side
    6,111.39x = 31,671,827.69
  5. Step 5: Solve for x
    x = 31,671,827.69/6,111.39
  6. Step 6: Final answer
    x = 5,182.43

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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.