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Finding the Fourth Proportional to 4,984.26, 7,476.52 and 1,521.50

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Solution

The fourth proportional to 4,984.26, 7,476.52 and 1,521.50 is: 2,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.26 : 7,476.52 = 1,521.50 : x
  2. Step 2: Convert to fraction form
    4,984.26/7,476.52 = 1,521.50/x
  3. Step 3: Cross multiply
    4,984.26x = 7,476.52 × 1,521.50
  4. Step 4: Simplify right side
    4,984.26x = 11,375,525.18
  5. Step 5: Solve for x
    x = 11,375,525.18/4,984.26
  6. Step 6: Final answer
    x = 2,282.29

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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.