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Finding the Fourth Proportional to 4,566.73, 6,817.06 and 4,013.16

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Solution

The fourth proportional to 4,566.73, 6,817.06 and 4,013.16 is: 5,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.73 : 6,817.06 = 4,013.16 : x
  2. Step 2: Convert to fraction form
    4,566.73/6,817.06 = 4,013.16/x
  3. Step 3: Cross multiply
    4,566.73x = 6,817.06 × 4,013.16
  4. Step 4: Simplify right side
    4,566.73x = 27,357,952.51
  5. Step 5: Solve for x
    x = 27,357,952.51/4,566.73
  6. Step 6: Final answer
    x = 5,990.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.