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Finding the Fourth Proportional to 5,712.67, 7,881.16 and 3,722.50

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Solution

The fourth proportional to 5,712.67, 7,881.16 and 3,722.50 is: 5,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.67 : 7,881.16 = 3,722.50 : x
  2. Step 2: Convert to fraction form
    5,712.67/7,881.16 = 3,722.50/x
  3. Step 3: Cross multiply
    5,712.67x = 7,881.16 × 3,722.50
  4. Step 4: Simplify right side
    5,712.67x = 29,337,618.10
  5. Step 5: Solve for x
    x = 29,337,618.10/5,712.67
  6. Step 6: Final answer
    x = 5,135.54

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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.