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Finding the Fourth Proportional to 4,177.84, 5,765.52 and 2,314.84

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Solution

The fourth proportional to 4,177.84, 5,765.52 and 2,314.84 is: 3,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.84 : 5,765.52 = 2,314.84 : x
  2. Step 2: Convert to fraction form
    4,177.84/5,765.52 = 2,314.84/x
  3. Step 3: Cross multiply
    4,177.84x = 5,765.52 × 2,314.84
  4. Step 4: Simplify right side
    4,177.84x = 13,346,256.32
  5. Step 5: Solve for x
    x = 13,346,256.32/4,177.84
  6. Step 6: Final answer
    x = 3,194.54

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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.