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Finding the Fourth Proportional to 4,686.57, 7,008.69 and 3,576.33

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Solution

The fourth proportional to 4,686.57, 7,008.69 and 3,576.33 is: 5,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.57 : 7,008.69 = 3,576.33 : x
  2. Step 2: Convert to fraction form
    4,686.57/7,008.69 = 3,576.33/x
  3. Step 3: Cross multiply
    4,686.57x = 7,008.69 × 3,576.33
  4. Step 4: Simplify right side
    4,686.57x = 25,065,388.31
  5. Step 5: Solve for x
    x = 25,065,388.31/4,686.57
  6. Step 6: Final answer
    x = 5,348.34

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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.