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Finding the Fourth Proportional to 5,499.20, 7,720.75 and 5,499.20

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Solution

The fourth proportional to 5,499.20, 7,720.75 and 5,499.20 is: 7,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,499.20 : 7,720.75 = 5,499.20 : x
  2. Step 2: Convert to fraction form
    5,499.20/7,720.75 = 5,499.20/x
  3. Step 3: Cross multiply
    5,499.20x = 7,720.75 × 5,499.20
  4. Step 4: Simplify right side
    5,499.20x = 42,457,948.40
  5. Step 5: Solve for x
    x = 42,457,948.40/5,499.20
  6. Step 6: Final answer
    x = 7,720.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.