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Finding the Fourth Proportional to 5,364, 7,402.35 and 3,127.42

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Solution

The fourth proportional to 5,364, 7,402.35 and 3,127.42 is: 4,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364 : 7,402.35 = 3,127.42 : x
  2. Step 2: Convert to fraction form
    5,364/7,402.35 = 3,127.42/x
  3. Step 3: Cross multiply
    5,364x = 7,402.35 × 3,127.42
  4. Step 4: Simplify right side
    5,364x = 23,150,257.44
  5. Step 5: Solve for x
    x = 23,150,257.44/5,364
  6. Step 6: Final answer
    x = 4,315.86

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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.