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Finding the Fourth Proportional to 4,675.65, 7,012.79 and 1,902.37

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Solution

The fourth proportional to 4,675.65, 7,012.79 and 1,902.37 is: 2,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.65 : 7,012.79 = 1,902.37 : x
  2. Step 2: Convert to fraction form
    4,675.65/7,012.79 = 1,902.37/x
  3. Step 3: Cross multiply
    4,675.65x = 7,012.79 × 1,902.37
  4. Step 4: Simplify right side
    4,675.65x = 13,340,911.80
  5. Step 5: Solve for x
    x = 13,340,911.80/4,675.65
  6. Step 6: Final answer
    x = 2,853.28

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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.