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Finding the Fourth Proportional to 3,876.42, 5,347.75 and 2,583.19

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Solution

The fourth proportional to 3,876.42, 5,347.75 and 2,583.19 is: 3,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.42 : 5,347.75 = 2,583.19 : x
  2. Step 2: Convert to fraction form
    3,876.42/5,347.75 = 2,583.19/x
  3. Step 3: Cross multiply
    3,876.42x = 5,347.75 × 2,583.19
  4. Step 4: Simplify right side
    3,876.42x = 13,814,214.67
  5. Step 5: Solve for x
    x = 13,814,214.67/3,876.42
  6. Step 6: Final answer
    x = 3,563.65

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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.