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Finding the Fourth Proportional to 3,887.49, 5,827.72 and 1,420.58

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Solution

The fourth proportional to 3,887.49, 5,827.72 and 1,420.58 is: 2,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.49 : 5,827.72 = 1,420.58 : x
  2. Step 2: Convert to fraction form
    3,887.49/5,827.72 = 1,420.58/x
  3. Step 3: Cross multiply
    3,887.49x = 5,827.72 × 1,420.58
  4. Step 4: Simplify right side
    3,887.49x = 8,278,742.48
  5. Step 5: Solve for x
    x = 8,278,742.48/3,887.49
  6. Step 6: Final answer
    x = 2,129.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.