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Finding the Fourth Proportional to 5,259.53, 7,257.80 and 3,021.50

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Solution

The fourth proportional to 5,259.53, 7,257.80 and 3,021.50 is: 4,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.53 : 7,257.80 = 3,021.50 : x
  2. Step 2: Convert to fraction form
    5,259.53/7,257.80 = 3,021.50/x
  3. Step 3: Cross multiply
    5,259.53x = 7,257.80 × 3,021.50
  4. Step 4: Simplify right side
    5,259.53x = 21,929,468.40
  5. Step 5: Solve for x
    x = 21,929,468.40/5,259.53
  6. Step 6: Final answer
    x = 4,169.47

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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.