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Finding the Fourth Proportional to 3,536.84, 5,338.49 and 3,536.84

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Solution

The fourth proportional to 3,536.84, 5,338.49 and 3,536.84 is: 5,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.84 : 5,338.49 = 3,536.84 : x
  2. Step 2: Convert to fraction form
    3,536.84/5,338.49 = 3,536.84/x
  3. Step 3: Cross multiply
    3,536.84x = 5,338.49 × 3,536.84
  4. Step 4: Simplify right side
    3,536.84x = 18,881,340.59
  5. Step 5: Solve for x
    x = 18,881,340.59/3,536.84
  6. Step 6: Final answer
    x = 5,338.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.