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Finding the Fourth Proportional to 4,596.48, 6,882.48 and 3,765.60

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Solution

The fourth proportional to 4,596.48, 6,882.48 and 3,765.60 is: 5,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.48 : 6,882.48 = 3,765.60 : x
  2. Step 2: Convert to fraction form
    4,596.48/6,882.48 = 3,765.60/x
  3. Step 3: Cross multiply
    4,596.48x = 6,882.48 × 3,765.60
  4. Step 4: Simplify right side
    4,596.48x = 25,916,666.69
  5. Step 5: Solve for x
    x = 25,916,666.69/4,596.48
  6. Step 6: Final answer
    x = 5,638.37

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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.