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Finding the Fourth Proportional to 5,664.34, 7,816.68 and 3,146.44

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Solution

The fourth proportional to 5,664.34, 7,816.68 and 3,146.44 is: 4,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.34 : 7,816.68 = 3,146.44 : x
  2. Step 2: Convert to fraction form
    5,664.34/7,816.68 = 3,146.44/x
  3. Step 3: Cross multiply
    5,664.34x = 7,816.68 × 3,146.44
  4. Step 4: Simplify right side
    5,664.34x = 24,594,714.62
  5. Step 5: Solve for x
    x = 24,594,714.62/5,664.34
  6. Step 6: Final answer
    x = 4,342.03

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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.