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Finding the Fourth Proportional to 3,574.84, 5,359.98 and 2,114.44

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Solution

The fourth proportional to 3,574.84, 5,359.98 and 2,114.44 is: 3,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.84 : 5,359.98 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    3,574.84/5,359.98 = 2,114.44/x
  3. Step 3: Cross multiply
    3,574.84x = 5,359.98 × 2,114.44
  4. Step 4: Simplify right side
    3,574.84x = 11,333,356.11
  5. Step 5: Solve for x
    x = 11,333,356.11/3,574.84
  6. Step 6: Final answer
    x = 3,170.31

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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.