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Finding the Fourth Proportional to 5,101.46, 7,642.41 and 2,461.16

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Solution

The fourth proportional to 5,101.46, 7,642.41 and 2,461.16 is: 3,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.46 : 7,642.41 = 2,461.16 : x
  2. Step 2: Convert to fraction form
    5,101.46/7,642.41 = 2,461.16/x
  3. Step 3: Cross multiply
    5,101.46x = 7,642.41 × 2,461.16
  4. Step 4: Simplify right side
    5,101.46x = 18,809,212.90
  5. Step 5: Solve for x
    x = 18,809,212.90/5,101.46
  6. Step 6: Final answer
    x = 3,687.03

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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.