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Finding the Fourth Proportional to 6,298.23, 8,688.99 and 3,780.39

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Solution

The fourth proportional to 6,298.23, 8,688.99 and 3,780.39 is: 5,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.23 : 8,688.99 = 3,780.39 : x
  2. Step 2: Convert to fraction form
    6,298.23/8,688.99 = 3,780.39/x
  3. Step 3: Cross multiply
    6,298.23x = 8,688.99 × 3,780.39
  4. Step 4: Simplify right side
    6,298.23x = 32,847,770.91
  5. Step 5: Solve for x
    x = 32,847,770.91/6,298.23
  6. Step 6: Final answer
    x = 5,215.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.