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Finding the Fourth Proportional to 5,989.23, 8,973.50 and 5,380.52

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Solution

The fourth proportional to 5,989.23, 8,973.50 and 5,380.52 is: 8,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.23 : 8,973.50 = 5,380.52 : x
  2. Step 2: Convert to fraction form
    5,989.23/8,973.50 = 5,380.52/x
  3. Step 3: Cross multiply
    5,989.23x = 8,973.50 × 5,380.52
  4. Step 4: Simplify right side
    5,989.23x = 48,282,024.45
  5. Step 5: Solve for x
    x = 48,282,024.45/5,989.23
  6. Step 6: Final answer
    x = 8,061.47

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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.