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Finding the Fourth Proportional to 5,740.86, 7,920.95 and 3,223.05

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Solution

The fourth proportional to 5,740.86, 7,920.95 and 3,223.05 is: 4,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.86 : 7,920.95 = 3,223.05 : x
  2. Step 2: Convert to fraction form
    5,740.86/7,920.95 = 3,223.05/x
  3. Step 3: Cross multiply
    5,740.86x = 7,920.95 × 3,223.05
  4. Step 4: Simplify right side
    5,740.86x = 25,529,617.90
  5. Step 5: Solve for x
    x = 25,529,617.90/5,740.86
  6. Step 6: Final answer
    x = 4,447.00

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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.