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Finding the Fourth Proportional to 5,612.34, 7,744.64 and 3,094.30

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Solution

The fourth proportional to 5,612.34, 7,744.64 and 3,094.30 is: 4,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.34 : 7,744.64 = 3,094.30 : x
  2. Step 2: Convert to fraction form
    5,612.34/7,744.64 = 3,094.30/x
  3. Step 3: Cross multiply
    5,612.34x = 7,744.64 × 3,094.30
  4. Step 4: Simplify right side
    5,612.34x = 23,964,239.55
  5. Step 5: Solve for x
    x = 23,964,239.55/5,612.34
  6. Step 6: Final answer
    x = 4,269.92

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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.