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Finding the Fourth Proportional to 4,326.86, 6,496.77 and 4,175.66

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Solution

The fourth proportional to 4,326.86, 6,496.77 and 4,175.66 is: 6,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.86 : 6,496.77 = 4,175.66 : x
  2. Step 2: Convert to fraction form
    4,326.86/6,496.77 = 4,175.66/x
  3. Step 3: Cross multiply
    4,326.86x = 6,496.77 × 4,175.66
  4. Step 4: Simplify right side
    4,326.86x = 27,128,302.62
  5. Step 5: Solve for x
    x = 27,128,302.62/4,326.86
  6. Step 6: Final answer
    x = 6,269.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.