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Finding the Fourth Proportional to 4,761.86, 6,570.80 and 2,745.25

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Solution

The fourth proportional to 4,761.86, 6,570.80 and 2,745.25 is: 3,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.86 : 6,570.80 = 2,745.25 : x
  2. Step 2: Convert to fraction form
    4,761.86/6,570.80 = 2,745.25/x
  3. Step 3: Cross multiply
    4,761.86x = 6,570.80 × 2,745.25
  4. Step 4: Simplify right side
    4,761.86x = 18,038,502.76
  5. Step 5: Solve for x
    x = 18,038,502.76/4,761.86
  6. Step 6: Final answer
    x = 3,788.12

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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.