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Finding the Fourth Proportional to 3,472.69, 5,210.83 and 1,913.94

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Solution

The fourth proportional to 3,472.69, 5,210.83 and 1,913.94 is: 2,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.69 : 5,210.83 = 1,913.94 : x
  2. Step 2: Convert to fraction form
    3,472.69/5,210.83 = 1,913.94/x
  3. Step 3: Cross multiply
    3,472.69x = 5,210.83 × 1,913.94
  4. Step 4: Simplify right side
    3,472.69x = 9,973,215.97
  5. Step 5: Solve for x
    x = 9,973,215.97/3,472.69
  6. Step 6: Final answer
    x = 2,871.90

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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.