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Finding the Fourth Proportional to 5,465.68, 8,200.10 and 1,767.83

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Solution

The fourth proportional to 5,465.68, 8,200.10 and 1,767.83 is: 2,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.68 : 8,200.10 = 1,767.83 : x
  2. Step 2: Convert to fraction form
    5,465.68/8,200.10 = 1,767.83/x
  3. Step 3: Cross multiply
    5,465.68x = 8,200.10 × 1,767.83
  4. Step 4: Simplify right side
    5,465.68x = 14,496,346.20
  5. Step 5: Solve for x
    x = 14,496,346.20/5,465.68
  6. Step 6: Final answer
    x = 2,652.25

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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.