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Finding the Fourth Proportional to 5,664.13, 7,817.23 and 3,540.35

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Solution

The fourth proportional to 5,664.13, 7,817.23 and 3,540.35 is: 4,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.13 : 7,817.23 = 3,540.35 : x
  2. Step 2: Convert to fraction form
    5,664.13/7,817.23 = 3,540.35/x
  3. Step 3: Cross multiply
    5,664.13x = 7,817.23 × 3,540.35
  4. Step 4: Simplify right side
    5,664.13x = 27,675,709.19
  5. Step 5: Solve for x
    x = 27,675,709.19/5,664.13
  6. Step 6: Final answer
    x = 4,886.14

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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.