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Finding the Fourth Proportional to 5,666.72, 8,494.22 and 4,102.84

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Solution

The fourth proportional to 5,666.72, 8,494.22 and 4,102.84 is: 6,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.72 : 8,494.22 = 4,102.84 : x
  2. Step 2: Convert to fraction form
    5,666.72/8,494.22 = 4,102.84/x
  3. Step 3: Cross multiply
    5,666.72x = 8,494.22 × 4,102.84
  4. Step 4: Simplify right side
    5,666.72x = 34,850,423.38
  5. Step 5: Solve for x
    x = 34,850,423.38/5,666.72
  6. Step 6: Final answer
    x = 6,150.02

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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.