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Finding the Fourth Proportional to 5,029.50, 7,541.71 and 1,741.71

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Solution

The fourth proportional to 5,029.50, 7,541.71 and 1,741.71 is: 2,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.50 : 7,541.71 = 1,741.71 : x
  2. Step 2: Convert to fraction form
    5,029.50/7,541.71 = 1,741.71/x
  3. Step 3: Cross multiply
    5,029.50x = 7,541.71 × 1,741.71
  4. Step 4: Simplify right side
    5,029.50x = 13,135,448.89
  5. Step 5: Solve for x
    x = 13,135,448.89/5,029.50
  6. Step 6: Final answer
    x = 2,611.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.