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Finding the Fourth Proportional to 5,605.34, 7,732.13 and 3,505.82

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Solution

The fourth proportional to 5,605.34, 7,732.13 and 3,505.82 is: 4,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.34 : 7,732.13 = 3,505.82 : x
  2. Step 2: Convert to fraction form
    5,605.34/7,732.13 = 3,505.82/x
  3. Step 3: Cross multiply
    5,605.34x = 7,732.13 × 3,505.82
  4. Step 4: Simplify right side
    5,605.34x = 27,107,399.81
  5. Step 5: Solve for x
    x = 27,107,399.81/5,605.34
  6. Step 6: Final answer
    x = 4,836.00

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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.