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Finding the Fourth Proportional to 5,664.60, 7,817.16 and 3,306.84

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Solution

The fourth proportional to 5,664.60, 7,817.16 and 3,306.84 is: 4,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.60 : 7,817.16 = 3,306.84 : x
  2. Step 2: Convert to fraction form
    5,664.60/7,817.16 = 3,306.84/x
  3. Step 3: Cross multiply
    5,664.60x = 7,817.16 × 3,306.84
  4. Step 4: Simplify right side
    5,664.60x = 25,850,097.37
  5. Step 5: Solve for x
    x = 25,850,097.37/5,664.60
  6. Step 6: Final answer
    x = 4,563.45

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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.