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Finding the Fourth Proportional to 3,530.70, 4,872.30 and 2,038.68

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Solution

The fourth proportional to 3,530.70, 4,872.30 and 2,038.68 is: 2,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.70 : 4,872.30 = 2,038.68 : x
  2. Step 2: Convert to fraction form
    3,530.70/4,872.30 = 2,038.68/x
  3. Step 3: Cross multiply
    3,530.70x = 4,872.30 × 2,038.68
  4. Step 4: Simplify right side
    3,530.70x = 9,933,060.56
  5. Step 5: Solve for x
    x = 9,933,060.56/3,530.70
  6. Step 6: Final answer
    x = 2,813.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.