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Finding the Fourth Proportional to 4,827.24, 7,241.72 and 1,709.05

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Solution

The fourth proportional to 4,827.24, 7,241.72 and 1,709.05 is: 2,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.24 : 7,241.72 = 1,709.05 : x
  2. Step 2: Convert to fraction form
    4,827.24/7,241.72 = 1,709.05/x
  3. Step 3: Cross multiply
    4,827.24x = 7,241.72 × 1,709.05
  4. Step 4: Simplify right side
    4,827.24x = 12,376,461.57
  5. Step 5: Solve for x
    x = 12,376,461.57/4,827.24
  6. Step 6: Final answer
    x = 2,563.88

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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.