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Finding the Fourth Proportional to 4,304.34, 6,452.82 and 1,930.62

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Solution

The fourth proportional to 4,304.34, 6,452.82 and 1,930.62 is: 2,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.34 : 6,452.82 = 1,930.62 : x
  2. Step 2: Convert to fraction form
    4,304.34/6,452.82 = 1,930.62/x
  3. Step 3: Cross multiply
    4,304.34x = 6,452.82 × 1,930.62
  4. Step 4: Simplify right side
    4,304.34x = 12,457,943.35
  5. Step 5: Solve for x
    x = 12,457,943.35/4,304.34
  6. Step 6: Final answer
    x = 2,894.27

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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.