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Finding the Fourth Proportional to 3,736.69, 5,156.63 and 2,165.69

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Solution

The fourth proportional to 3,736.69, 5,156.63 and 2,165.69 is: 2,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.69 : 5,156.63 = 2,165.69 : x
  2. Step 2: Convert to fraction form
    3,736.69/5,156.63 = 2,165.69/x
  3. Step 3: Cross multiply
    3,736.69x = 5,156.63 × 2,165.69
  4. Step 4: Simplify right side
    3,736.69x = 11,167,672.21
  5. Step 5: Solve for x
    x = 11,167,672.21/3,736.69
  6. Step 6: Final answer
    x = 2,988.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.