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Finding the Fourth Proportional to 5,200.62, 7,804.58 and 3,006.33

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Solution

The fourth proportional to 5,200.62, 7,804.58 and 3,006.33 is: 4,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.62 : 7,804.58 = 3,006.33 : x
  2. Step 2: Convert to fraction form
    5,200.62/7,804.58 = 3,006.33/x
  3. Step 3: Cross multiply
    5,200.62x = 7,804.58 × 3,006.33
  4. Step 4: Simplify right side
    5,200.62x = 23,463,127.96
  5. Step 5: Solve for x
    x = 23,463,127.96/5,200.62
  6. Step 6: Final answer
    x = 4,511.60

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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.