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Finding the Fourth Proportional to 3,536.84, 4,880.04 and 2,210.06

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Solution

The fourth proportional to 3,536.84, 4,880.04 and 2,210.06 is: 3,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.84 : 4,880.04 = 2,210.06 : x
  2. Step 2: Convert to fraction form
    3,536.84/4,880.04 = 2,210.06/x
  3. Step 3: Cross multiply
    3,536.84x = 4,880.04 × 2,210.06
  4. Step 4: Simplify right side
    3,536.84x = 10,785,181.20
  5. Step 5: Solve for x
    x = 10,785,181.20/3,536.84
  6. Step 6: Final answer
    x = 3,049.38

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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.