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Finding the Fourth Proportional to 3,473.34, 5,210.67 and 1,282.24

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Solution

The fourth proportional to 3,473.34, 5,210.67 and 1,282.24 is: 1,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.34 : 5,210.67 = 1,282.24 : x
  2. Step 2: Convert to fraction form
    3,473.34/5,210.67 = 1,282.24/x
  3. Step 3: Cross multiply
    3,473.34x = 5,210.67 × 1,282.24
  4. Step 4: Simplify right side
    3,473.34x = 6,681,329.50
  5. Step 5: Solve for x
    x = 6,681,329.50/3,473.34
  6. Step 6: Final answer
    x = 1,923.60

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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.