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Finding the Fourth Proportional to 5,666.68, 8,493.94 and 2,740.96

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Solution

The fourth proportional to 5,666.68, 8,493.94 and 2,740.96 is: 4,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.68 : 8,493.94 = 2,740.96 : x
  2. Step 2: Convert to fraction form
    5,666.68/8,493.94 = 2,740.96/x
  3. Step 3: Cross multiply
    5,666.68x = 8,493.94 × 2,740.96
  4. Step 4: Simplify right side
    5,666.68x = 23,281,549.78
  5. Step 5: Solve for x
    x = 23,281,549.78/5,666.68
  6. Step 6: Final answer
    x = 4,108.50

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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.