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Finding the Fourth Proportional to 4,175.50, 5,762.19 and 2,312.62

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Solution

The fourth proportional to 4,175.50, 5,762.19 and 2,312.62 is: 3,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.50 : 5,762.19 = 2,312.62 : x
  2. Step 2: Convert to fraction form
    4,175.50/5,762.19 = 2,312.62/x
  3. Step 3: Cross multiply
    4,175.50x = 5,762.19 × 2,312.62
  4. Step 4: Simplify right side
    4,175.50x = 13,325,755.84
  5. Step 5: Solve for x
    x = 13,325,755.84/4,175.50
  6. Step 6: Final answer
    x = 3,191.42

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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.