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Finding the Fourth Proportional to 4,860.80, 7,294.80 and 3,564.80

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Solution

The fourth proportional to 4,860.80, 7,294.80 and 3,564.80 is: 5,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.80 : 7,294.80 = 3,564.80 : x
  2. Step 2: Convert to fraction form
    4,860.80/7,294.80 = 3,564.80/x
  3. Step 3: Cross multiply
    4,860.80x = 7,294.80 × 3,564.80
  4. Step 4: Simplify right side
    4,860.80x = 26,004,503.04
  5. Step 5: Solve for x
    x = 26,004,503.04/4,860.80
  6. Step 6: Final answer
    x = 5,349.84

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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.