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Finding the Fourth Proportional to 5,420.48, 8,131.02 and 1,723

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Solution

The fourth proportional to 5,420.48, 8,131.02 and 1,723 is: 2,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.48 : 8,131.02 = 1,723 : x
  2. Step 2: Convert to fraction form
    5,420.48/8,131.02 = 1,723/x
  3. Step 3: Cross multiply
    5,420.48x = 8,131.02 × 1,723
  4. Step 4: Simplify right side
    5,420.48x = 14,009,747.46
  5. Step 5: Solve for x
    x = 14,009,747.46/5,420.48
  6. Step 6: Final answer
    x = 2,584.60

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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.