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Finding the Fourth Proportional to 5,259.36, 7,259.50 and 3,136.44

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Solution

The fourth proportional to 5,259.36, 7,259.50 and 3,136.44 is: 4,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.36 : 7,259.50 = 3,136.44 : x
  2. Step 2: Convert to fraction form
    5,259.36/7,259.50 = 3,136.44/x
  3. Step 3: Cross multiply
    5,259.36x = 7,259.50 × 3,136.44
  4. Step 4: Simplify right side
    5,259.36x = 22,768,986.18
  5. Step 5: Solve for x
    x = 22,768,986.18/5,259.36
  6. Step 6: Final answer
    x = 4,329.23

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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.