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Finding the Fourth Proportional to 4,202.34, 6,304.32 and 2,355.54

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Solution

The fourth proportional to 4,202.34, 6,304.32 and 2,355.54 is: 3,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.34 : 6,304.32 = 2,355.54 : x
  2. Step 2: Convert to fraction form
    4,202.34/6,304.32 = 2,355.54/x
  3. Step 3: Cross multiply
    4,202.34x = 6,304.32 × 2,355.54
  4. Step 4: Simplify right side
    4,202.34x = 14,850,077.93
  5. Step 5: Solve for x
    x = 14,850,077.93/4,202.34
  6. Step 6: Final answer
    x = 3,533.76

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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.