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Finding the Fourth Proportional to 5,652.96, 8,473.14 and 2,363.82

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Solution

The fourth proportional to 5,652.96, 8,473.14 and 2,363.82 is: 3,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.96 : 8,473.14 = 2,363.82 : x
  2. Step 2: Convert to fraction form
    5,652.96/8,473.14 = 2,363.82/x
  3. Step 3: Cross multiply
    5,652.96x = 8,473.14 × 2,363.82
  4. Step 4: Simplify right side
    5,652.96x = 20,028,977.79
  5. Step 5: Solve for x
    x = 20,028,977.79/5,652.96
  6. Step 6: Final answer
    x = 3,543.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.