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Finding the Fourth Proportional to 5,048.33, 7,567.02 and 3,200.31

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Solution

The fourth proportional to 5,048.33, 7,567.02 and 3,200.31 is: 4,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.33 : 7,567.02 = 3,200.31 : x
  2. Step 2: Convert to fraction form
    5,048.33/7,567.02 = 3,200.31/x
  3. Step 3: Cross multiply
    5,048.33x = 7,567.02 × 3,200.31
  4. Step 4: Simplify right side
    5,048.33x = 24,216,809.78
  5. Step 5: Solve for x
    x = 24,216,809.78/5,048.33
  6. Step 6: Final answer
    x = 4,797.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.