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Finding the Fourth Proportional to 5,206.44, 7,813.11 and 4,860.45

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Solution

The fourth proportional to 5,206.44, 7,813.11 and 4,860.45 is: 7,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.44 : 7,813.11 = 4,860.45 : x
  2. Step 2: Convert to fraction form
    5,206.44/7,813.11 = 4,860.45/x
  3. Step 3: Cross multiply
    5,206.44x = 7,813.11 × 4,860.45
  4. Step 4: Simplify right side
    5,206.44x = 37,975,230.50
  5. Step 5: Solve for x
    x = 37,975,230.50/5,206.44
  6. Step 6: Final answer
    x = 7,293.90

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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.