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Finding the Fourth Proportional to 3,510.05, 4,844.25 and 2,018.24

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Solution

The fourth proportional to 3,510.05, 4,844.25 and 2,018.24 is: 2,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.05 : 4,844.25 = 2,018.24 : x
  2. Step 2: Convert to fraction form
    3,510.05/4,844.25 = 2,018.24/x
  3. Step 3: Cross multiply
    3,510.05x = 4,844.25 × 2,018.24
  4. Step 4: Simplify right side
    3,510.05x = 9,776,834.90
  5. Step 5: Solve for x
    x = 9,776,834.90/3,510.05
  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.