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Finding the Fourth Proportional to 3,625.45, 5,438.18 and 992.76

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Solution

The fourth proportional to 3,625.45, 5,438.18 and 992.76 is: 1,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.45 : 5,438.18 = 992.76 : x
  2. Step 2: Convert to fraction form
    3,625.45/5,438.18 = 992.76/x
  3. Step 3: Cross multiply
    3,625.45x = 5,438.18 × 992.76
  4. Step 4: Simplify right side
    3,625.45x = 5,398,802.61
  5. Step 5: Solve for x
    x = 5,398,802.61/3,625.45
  6. Step 6: Final answer
    x = 1,489.14

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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.