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Finding the Fourth Proportional to 4,509.50, 6,223.12 and 2,740.80

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Solution

The fourth proportional to 4,509.50, 6,223.12 and 2,740.80 is: 3,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.50 : 6,223.12 = 2,740.80 : x
  2. Step 2: Convert to fraction form
    4,509.50/6,223.12 = 2,740.80/x
  3. Step 3: Cross multiply
    4,509.50x = 6,223.12 × 2,740.80
  4. Step 4: Simplify right side
    4,509.50x = 17,056,327.30
  5. Step 5: Solve for x
    x = 17,056,327.30/4,509.50
  6. Step 6: Final answer
    x = 3,782.31

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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.