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Finding the Fourth Proportional to 4,753.90, 6,546.87 and 4,652.14

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Solution

The fourth proportional to 4,753.90, 6,546.87 and 4,652.14 is: 6,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.90 : 6,546.87 = 4,652.14 : x
  2. Step 2: Convert to fraction form
    4,753.90/6,546.87 = 4,652.14/x
  3. Step 3: Cross multiply
    4,753.90x = 6,546.87 × 4,652.14
  4. Step 4: Simplify right side
    4,753.90x = 30,456,955.80
  5. Step 5: Solve for x
    x = 30,456,955.80/4,753.90
  6. Step 6: Final answer
    x = 6,406.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.