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Finding the Fourth Proportional to 5,208.94, 7,802.94 and 2,431.78

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Solution

The fourth proportional to 5,208.94, 7,802.94 and 2,431.78 is: 3,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.94 : 7,802.94 = 2,431.78 : x
  2. Step 2: Convert to fraction form
    5,208.94/7,802.94 = 2,431.78/x
  3. Step 3: Cross multiply
    5,208.94x = 7,802.94 × 2,431.78
  4. Step 4: Simplify right side
    5,208.94x = 18,975,033.43
  5. Step 5: Solve for x
    x = 18,975,033.43/5,208.94
  6. Step 6: Final answer
    x = 3,642.78

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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.