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Finding the Fourth Proportional to 3,604.84, 5,403.82 and 1,412.84

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Solution

The fourth proportional to 3,604.84, 5,403.82 and 1,412.84 is: 2,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.84 : 5,403.82 = 1,412.84 : x
  2. Step 2: Convert to fraction form
    3,604.84/5,403.82 = 1,412.84/x
  3. Step 3: Cross multiply
    3,604.84x = 5,403.82 × 1,412.84
  4. Step 4: Simplify right side
    3,604.84x = 7,634,733.05
  5. Step 5: Solve for x
    x = 7,634,733.05/3,604.84
  6. Step 6: Final answer
    x = 2,117.91

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1.5x scale

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.