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Finding the Fourth Proportional to 4,858.52, 7,287.78 and 1,526.80

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Solution

The fourth proportional to 4,858.52, 7,287.78 and 1,526.80 is: 2,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858.52 : 7,287.78 = 1,526.80 : x
  2. Step 2: Convert to fraction form
    4,858.52/7,287.78 = 1,526.80/x
  3. Step 3: Cross multiply
    4,858.52x = 7,287.78 × 1,526.80
  4. Step 4: Simplify right side
    4,858.52x = 11,126,982.50
  5. Step 5: Solve for x
    x = 11,126,982.50/4,858.52
  6. Step 6: Final answer
    x = 2,290.20

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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.