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Finding the Fourth Proportional to 5,002.34, 7,503.38 and 1,304.44

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Solution

The fourth proportional to 5,002.34, 7,503.38 and 1,304.44 is: 1,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.34 : 7,503.38 = 1,304.44 : x
  2. Step 2: Convert to fraction form
    5,002.34/7,503.38 = 1,304.44/x
  3. Step 3: Cross multiply
    5,002.34x = 7,503.38 × 1,304.44
  4. Step 4: Simplify right side
    5,002.34x = 9,787,709.01
  5. Step 5: Solve for x
    x = 9,787,709.01/5,002.34
  6. Step 6: Final answer
    x = 1,956.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.