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Finding the Fourth Proportional to 5,194.72, 7,801.80 and 4,538.62

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Solution

The fourth proportional to 5,194.72, 7,801.80 and 4,538.62 is: 6,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.72 : 7,801.80 = 4,538.62 : x
  2. Step 2: Convert to fraction form
    5,194.72/7,801.80 = 4,538.62/x
  3. Step 3: Cross multiply
    5,194.72x = 7,801.80 × 4,538.62
  4. Step 4: Simplify right side
    5,194.72x = 35,409,405.52
  5. Step 5: Solve for x
    x = 35,409,405.52/5,194.72
  6. Step 6: Final answer
    x = 6,816.42

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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.