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Finding the Fourth Proportional to 5,486.08, 8,228.96 and 2,024

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Solution

The fourth proportional to 5,486.08, 8,228.96 and 2,024 is: 3,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.08 : 8,228.96 = 2,024 : x
  2. Step 2: Convert to fraction form
    5,486.08/8,228.96 = 2,024/x
  3. Step 3: Cross multiply
    5,486.08x = 8,228.96 × 2,024
  4. Step 4: Simplify right side
    5,486.08x = 16,655,415.04
  5. Step 5: Solve for x
    x = 16,655,415.04/5,486.08
  6. Step 6: Final answer
    x = 3,035.94

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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.