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Finding the Fourth Proportional to 5,814.48, 8,721.72 and 4,090.80

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Solution

The fourth proportional to 5,814.48, 8,721.72 and 4,090.80 is: 6,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.48 : 8,721.72 = 4,090.80 : x
  2. Step 2: Convert to fraction form
    5,814.48/8,721.72 = 4,090.80/x
  3. Step 3: Cross multiply
    5,814.48x = 8,721.72 × 4,090.80
  4. Step 4: Simplify right side
    5,814.48x = 35,678,812.18
  5. Step 5: Solve for x
    x = 35,678,812.18/5,814.48
  6. Step 6: Final answer
    x = 6,136.20

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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.