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Finding the Fourth Proportional to 3,420.89, 4,720.16 and 2,023.73

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Solution

The fourth proportional to 3,420.89, 4,720.16 and 2,023.73 is: 2,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.89 : 4,720.16 = 2,023.73 : x
  2. Step 2: Convert to fraction form
    3,420.89/4,720.16 = 2,023.73/x
  3. Step 3: Cross multiply
    3,420.89x = 4,720.16 × 2,023.73
  4. Step 4: Simplify right side
    3,420.89x = 9,552,319.28
  5. Step 5: Solve for x
    x = 9,552,319.28/3,420.89
  6. Step 6: Final answer
    x = 2,792.35

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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.