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Finding the Fourth Proportional to 5,580.42, 7,700.94 and 3,222.42

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Solution

The fourth proportional to 5,580.42, 7,700.94 and 3,222.42 is: 4,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.42 : 7,700.94 = 3,222.42 : x
  2. Step 2: Convert to fraction form
    5,580.42/7,700.94 = 3,222.42/x
  3. Step 3: Cross multiply
    5,580.42x = 7,700.94 × 3,222.42
  4. Step 4: Simplify right side
    5,580.42x = 24,815,663.07
  5. Step 5: Solve for x
    x = 24,815,663.07/5,580.42
  6. Step 6: Final answer
    x = 4,446.92

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