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Finding the Fourth Proportional to 4,745.79, 7,113.67 and 1,781.49

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Solution

The fourth proportional to 4,745.79, 7,113.67 and 1,781.49 is: 2,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.79 : 7,113.67 = 1,781.49 : x
  2. Step 2: Convert to fraction form
    4,745.79/7,113.67 = 1,781.49/x
  3. Step 3: Cross multiply
    4,745.79x = 7,113.67 × 1,781.49
  4. Step 4: Simplify right side
    4,745.79x = 12,672,964.21
  5. Step 5: Solve for x
    x = 12,672,964.21/4,745.79
  6. Step 6: Final answer
    x = 2,670.36

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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.