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Finding the Fourth Proportional to 3,257.95, 4,495.97 and 1,765.86

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Solution

The fourth proportional to 3,257.95, 4,495.97 and 1,765.86 is: 2,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.95 : 4,495.97 = 1,765.86 : x
  2. Step 2: Convert to fraction form
    3,257.95/4,495.97 = 1,765.86/x
  3. Step 3: Cross multiply
    3,257.95x = 4,495.97 × 1,765.86
  4. Step 4: Simplify right side
    3,257.95x = 7,939,259.10
  5. Step 5: Solve for x
    x = 7,939,259.10/3,257.95
  6. Step 6: Final answer
    x = 2,436.89

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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.