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Finding the Fourth Proportional to 5,689.76, 8,533.28 and 1,992.16

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Solution

The fourth proportional to 5,689.76, 8,533.28 and 1,992.16 is: 2,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.76 : 8,533.28 = 1,992.16 : x
  2. Step 2: Convert to fraction form
    5,689.76/8,533.28 = 1,992.16/x
  3. Step 3: Cross multiply
    5,689.76x = 8,533.28 × 1,992.16
  4. Step 4: Simplify right side
    5,689.76x = 16,999,659.08
  5. Step 5: Solve for x
    x = 16,999,659.08/5,689.76
  6. Step 6: Final answer
    x = 2,987.76

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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.