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Finding the Fourth Proportional to 5,605.79, 7,736.09 and 3,215.77

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Solution

The fourth proportional to 5,605.79, 7,736.09 and 3,215.77 is: 4,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.79 : 7,736.09 = 3,215.77 : x
  2. Step 2: Convert to fraction form
    5,605.79/7,736.09 = 3,215.77/x
  3. Step 3: Cross multiply
    5,605.79x = 7,736.09 × 3,215.77
  4. Step 4: Simplify right side
    5,605.79x = 24,877,431.38
  5. Step 5: Solve for x
    x = 24,877,431.38/5,605.79
  6. Step 6: Final answer
    x = 4,437.81

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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.