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Finding the Fourth Proportional to 3,473.57, 5,206.68 and 2,347.88

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Solution

The fourth proportional to 3,473.57, 5,206.68 and 2,347.88 is: 3,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.57 : 5,206.68 = 2,347.88 : x
  2. Step 2: Convert to fraction form
    3,473.57/5,206.68 = 2,347.88/x
  3. Step 3: Cross multiply
    3,473.57x = 5,206.68 × 2,347.88
  4. Step 4: Simplify right side
    3,473.57x = 12,224,633.81
  5. Step 5: Solve for x
    x = 12,224,633.81/3,473.57
  6. Step 6: Final answer
    x = 3,519.33

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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.