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Finding the Fourth Proportional to 5,664.63, 7,817.92 and 3,426.60

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Solution

The fourth proportional to 5,664.63, 7,817.92 and 3,426.60 is: 4,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.63 : 7,817.92 = 3,426.60 : x
  2. Step 2: Convert to fraction form
    5,664.63/7,817.92 = 3,426.60/x
  3. Step 3: Cross multiply
    5,664.63x = 7,817.92 × 3,426.60
  4. Step 4: Simplify right side
    5,664.63x = 26,788,905.42
  5. Step 5: Solve for x
    x = 26,788,905.42/5,664.63
  6. Step 6: Final answer
    x = 4,729.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.