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Finding the Fourth Proportional to 4,564.23, 6,813.33 and 4,010.65

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Solution

The fourth proportional to 4,564.23, 6,813.33 and 4,010.65 is: 5,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.23 : 6,813.33 = 4,010.65 : x
  2. Step 2: Convert to fraction form
    4,564.23/6,813.33 = 4,010.65/x
  3. Step 3: Cross multiply
    4,564.23x = 6,813.33 × 4,010.65
  4. Step 4: Simplify right side
    4,564.23x = 27,325,864.93
  5. Step 5: Solve for x
    x = 27,325,864.93/4,564.23
  6. Step 6: Final answer
    x = 5,986.96

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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.