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Finding the Fourth Proportional to 4,175.52, 5,762.20 and 2,312.52

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Solution

The fourth proportional to 4,175.52, 5,762.20 and 2,312.52 is: 3,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.52 : 5,762.20 = 2,312.52 : x
  2. Step 2: Convert to fraction form
    4,175.52/5,762.20 = 2,312.52/x
  3. Step 3: Cross multiply
    4,175.52x = 5,762.20 × 2,312.52
  4. Step 4: Simplify right side
    4,175.52x = 13,325,202.74
  5. Step 5: Solve for x
    x = 13,325,202.74/4,175.52
  6. Step 6: Final answer
    x = 3,191.27

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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.