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Finding the Fourth Proportional to 5,777.25, 7,972.62 and 3,124.67

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Solution

The fourth proportional to 5,777.25, 7,972.62 and 3,124.67 is: 4,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.25 : 7,972.62 = 3,124.67 : x
  2. Step 2: Convert to fraction form
    5,777.25/7,972.62 = 3,124.67/x
  3. Step 3: Cross multiply
    5,777.25x = 7,972.62 × 3,124.67
  4. Step 4: Simplify right side
    5,777.25x = 24,911,806.54
  5. Step 5: Solve for x
    x = 24,911,806.54/5,777.25
  6. Step 6: Final answer
    x = 4,312.05

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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.