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Finding the Fourth Proportional to 3,564.72, 5,374.20 and 3,314.16

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Solution

The fourth proportional to 3,564.72, 5,374.20 and 3,314.16 is: 4,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.72 : 5,374.20 = 3,314.16 : x
  2. Step 2: Convert to fraction form
    3,564.72/5,374.20 = 3,314.16/x
  3. Step 3: Cross multiply
    3,564.72x = 5,374.20 × 3,314.16
  4. Step 4: Simplify right side
    3,564.72x = 17,810,958.67
  5. Step 5: Solve for x
    x = 17,810,958.67/3,564.72
  6. Step 6: Final answer
    x = 4,996.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.