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Finding the Fourth Proportional to 3,543, 5,314.68 and 1,234.68

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Solution

The fourth proportional to 3,543, 5,314.68 and 1,234.68 is: 1,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543 : 5,314.68 = 1,234.68 : x
  2. Step 2: Convert to fraction form
    3,543/5,314.68 = 1,234.68/x
  3. Step 3: Cross multiply
    3,543x = 5,314.68 × 1,234.68
  4. Step 4: Simplify right side
    3,543x = 6,561,929.10
  5. Step 5: Solve for x
    x = 6,561,929.10/3,543
  6. Step 6: Final answer
    x = 1,852.08

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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.