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Finding the Fourth Proportional to 5,985.16, 8,976.68 and 1,824.16

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Solution

The fourth proportional to 5,985.16, 8,976.68 and 1,824.16 is: 2,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.16 : 8,976.68 = 1,824.16 : x
  2. Step 2: Convert to fraction form
    5,985.16/8,976.68 = 1,824.16/x
  3. Step 3: Cross multiply
    5,985.16x = 8,976.68 × 1,824.16
  4. Step 4: Simplify right side
    5,985.16x = 16,374,900.59
  5. Step 5: Solve for x
    x = 16,374,900.59/5,985.16
  6. Step 6: Final answer
    x = 2,735.92

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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.