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Finding the Fourth Proportional to 3,530.87, 4,872.58 and 2,018.41

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Solution

The fourth proportional to 3,530.87, 4,872.58 and 2,018.41 is: 2,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.87 : 4,872.58 = 2,018.41 : x
  2. Step 2: Convert to fraction form
    3,530.87/4,872.58 = 2,018.41/x
  3. Step 3: Cross multiply
    3,530.87x = 4,872.58 × 2,018.41
  4. Step 4: Simplify right side
    3,530.87x = 9,834,864.20
  5. Step 5: Solve for x
    x = 9,834,864.20/3,530.87
  6. Step 6: Final answer
    x = 2,785.39

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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.