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Finding the Fourth Proportional to 5,639.96, 8,461.20 and 1,744.76

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Solution

The fourth proportional to 5,639.96, 8,461.20 and 1,744.76 is: 2,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.96 : 8,461.20 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    5,639.96/8,461.20 = 1,744.76/x
  3. Step 3: Cross multiply
    5,639.96x = 8,461.20 × 1,744.76
  4. Step 4: Simplify right side
    5,639.96x = 14,762,763.31
  5. Step 5: Solve for x
    x = 14,762,763.31/5,639.96
  6. Step 6: Final answer
    x = 2,617.53

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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.