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Finding the Fourth Proportional to 4,630.38, 6,945.58 and 2,549.32

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Solution

The fourth proportional to 4,630.38, 6,945.58 and 2,549.32 is: 3,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.38 : 6,945.58 = 2,549.32 : x
  2. Step 2: Convert to fraction form
    4,630.38/6,945.58 = 2,549.32/x
  3. Step 3: Cross multiply
    4,630.38x = 6,945.58 × 2,549.32
  4. Step 4: Simplify right side
    4,630.38x = 17,706,530.90
  5. Step 5: Solve for x
    x = 17,706,530.90/4,630.38
  6. Step 6: Final answer
    x = 3,823.99

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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.