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Finding the Fourth Proportional to 4,034.53, 6,053.50 and 2,186.92

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Solution

The fourth proportional to 4,034.53, 6,053.50 and 2,186.92 is: 3,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.53 : 6,053.50 = 2,186.92 : x
  2. Step 2: Convert to fraction form
    4,034.53/6,053.50 = 2,186.92/x
  3. Step 3: Cross multiply
    4,034.53x = 6,053.50 × 2,186.92
  4. Step 4: Simplify right side
    4,034.53x = 13,238,520.22
  5. Step 5: Solve for x
    x = 13,238,520.22/4,034.53
  6. Step 6: Final answer
    x = 3,281.30

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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.