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Finding the Fourth Proportional to 3,420.86, 5,122.02 and 1,773.95

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Solution

The fourth proportional to 3,420.86, 5,122.02 and 1,773.95 is: 2,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.86 : 5,122.02 = 1,773.95 : x
  2. Step 2: Convert to fraction form
    3,420.86/5,122.02 = 1,773.95/x
  3. Step 3: Cross multiply
    3,420.86x = 5,122.02 × 1,773.95
  4. Step 4: Simplify right side
    3,420.86x = 9,086,207.25
  5. Step 5: Solve for x
    x = 9,086,207.25/3,420.86
  6. Step 6: Final answer
    x = 2,656.12

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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.