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Finding the Fourth Proportional to 5,287.94, 7,298 and 3,049.84

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Solution

The fourth proportional to 5,287.94, 7,298 and 3,049.84 is: 4,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.94 : 7,298 = 3,049.84 : x
  2. Step 2: Convert to fraction form
    5,287.94/7,298 = 3,049.84/x
  3. Step 3: Cross multiply
    5,287.94x = 7,298 × 3,049.84
  4. Step 4: Simplify right side
    5,287.94x = 22,257,732.32
  5. Step 5: Solve for x
    x = 22,257,732.32/5,287.94
  6. Step 6: Final answer
    x = 4,209.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.