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Finding the Fourth Proportional to 4,172.50, 5,758.05 and 2,309.62

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Solution

The fourth proportional to 4,172.50, 5,758.05 and 2,309.62 is: 3,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.50 : 5,758.05 = 2,309.62 : x
  2. Step 2: Convert to fraction form
    4,172.50/5,758.05 = 2,309.62/x
  3. Step 3: Cross multiply
    4,172.50x = 5,758.05 × 2,309.62
  4. Step 4: Simplify right side
    4,172.50x = 13,298,907.44
  5. Step 5: Solve for x
    x = 13,298,907.44/4,172.50
  6. Step 6: Final answer
    x = 3,187.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.