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Finding the Fourth Proportional to 4,814.66, 7,222.70 and 2,594.66

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Solution

The fourth proportional to 4,814.66, 7,222.70 and 2,594.66 is: 3,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.66 : 7,222.70 = 2,594.66 : x
  2. Step 2: Convert to fraction form
    4,814.66/7,222.70 = 2,594.66/x
  3. Step 3: Cross multiply
    4,814.66x = 7,222.70 × 2,594.66
  4. Step 4: Simplify right side
    4,814.66x = 18,740,421.16
  5. Step 5: Solve for x
    x = 18,740,421.16/4,814.66
  6. Step 6: Final answer
    x = 3,892.36

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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.