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Finding the Fourth Proportional to 5,640.18, 7,782.69 and 3,280.50

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Solution

The fourth proportional to 5,640.18, 7,782.69 and 3,280.50 is: 4,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.18 : 7,782.69 = 3,280.50 : x
  2. Step 2: Convert to fraction form
    5,640.18/7,782.69 = 3,280.50/x
  3. Step 3: Cross multiply
    5,640.18x = 7,782.69 × 3,280.50
  4. Step 4: Simplify right side
    5,640.18x = 25,531,114.55
  5. Step 5: Solve for x
    x = 25,531,114.55/5,640.18
  6. Step 6: Final answer
    x = 4,526.65

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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.