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Finding the Fourth Proportional to 5,160.94, 7,735.98 and 2,524.80

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Solution

The fourth proportional to 5,160.94, 7,735.98 and 2,524.80 is: 3,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.94 : 7,735.98 = 2,524.80 : x
  2. Step 2: Convert to fraction form
    5,160.94/7,735.98 = 2,524.80/x
  3. Step 3: Cross multiply
    5,160.94x = 7,735.98 × 2,524.80
  4. Step 4: Simplify right side
    5,160.94x = 19,531,802.30
  5. Step 5: Solve for x
    x = 19,531,802.30/5,160.94
  6. Step 6: Final answer
    x = 3,784.55

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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.