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Finding the Fourth Proportional to 4,235.57, 6,353.71 and 1,461.11

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Solution

The fourth proportional to 4,235.57, 6,353.71 and 1,461.11 is: 2,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.57 : 6,353.71 = 1,461.11 : x
  2. Step 2: Convert to fraction form
    4,235.57/6,353.71 = 1,461.11/x
  3. Step 3: Cross multiply
    4,235.57x = 6,353.71 × 1,461.11
  4. Step 4: Simplify right side
    4,235.57x = 9,283,481.45
  5. Step 5: Solve for x
    x = 9,283,481.45/4,235.57
  6. Step 6: Final answer
    x = 2,191.79

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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.