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Finding the Fourth Proportional to 5,424.93, 8,140.74 and 2,503.47

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Solution

The fourth proportional to 5,424.93, 8,140.74 and 2,503.47 is: 3,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.93 : 8,140.74 = 2,503.47 : x
  2. Step 2: Convert to fraction form
    5,424.93/8,140.74 = 2,503.47/x
  3. Step 3: Cross multiply
    5,424.93x = 8,140.74 × 2,503.47
  4. Step 4: Simplify right side
    5,424.93x = 20,380,098.37
  5. Step 5: Solve for x
    x = 20,380,098.37/5,424.93
  6. Step 6: Final answer
    x = 3,756.75

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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.