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Finding the Fourth Proportional to 5,493.99, 7,583.06 and 3,137.50

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Solution

The fourth proportional to 5,493.99, 7,583.06 and 3,137.50 is: 4,330.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.99 : 7,583.06 = 3,137.50 : x
  2. Step 2: Convert to fraction form
    5,493.99/7,583.06 = 3,137.50/x
  3. Step 3: Cross multiply
    5,493.99x = 7,583.06 × 3,137.50
  4. Step 4: Simplify right side
    5,493.99x = 23,791,839.64
  5. Step 5: Solve for x
    x = 23,791,839.64/5,493.99
  6. Step 6: Final answer
    x = 4,330.52

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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.