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Finding the Fourth Proportional to 3,472.77, 5,208.87 and 1,364.45

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Solution

The fourth proportional to 3,472.77, 5,208.87 and 1,364.45 is: 2,046.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.77 : 5,208.87 = 1,364.45 : x
  2. Step 2: Convert to fraction form
    3,472.77/5,208.87 = 1,364.45/x
  3. Step 3: Cross multiply
    3,472.77x = 5,208.87 × 1,364.45
  4. Step 4: Simplify right side
    3,472.77x = 7,107,221.74
  5. Step 5: Solve for x
    x = 7,107,221.74/3,472.77
  6. Step 6: Final answer
    x = 2,046.55

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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.