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Finding the Fourth Proportional to 4,368.62, 6,546.50 and 2,174.34

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Solution

The fourth proportional to 4,368.62, 6,546.50 and 2,174.34 is: 3,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.62 : 6,546.50 = 2,174.34 : x
  2. Step 2: Convert to fraction form
    4,368.62/6,546.50 = 2,174.34/x
  3. Step 3: Cross multiply
    4,368.62x = 6,546.50 × 2,174.34
  4. Step 4: Simplify right side
    4,368.62x = 14,234,316.81
  5. Step 5: Solve for x
    x = 14,234,316.81/4,368.62
  6. Step 6: Final answer
    x = 3,258.31

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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.