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Finding the Fourth Proportional to 3,566.34, 4,922.64 and 2,503.62

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Solution

The fourth proportional to 3,566.34, 4,922.64 and 2,503.62 is: 3,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.34 : 4,922.64 = 2,503.62 : x
  2. Step 2: Convert to fraction form
    3,566.34/4,922.64 = 2,503.62/x
  3. Step 3: Cross multiply
    3,566.34x = 4,922.64 × 2,503.62
  4. Step 4: Simplify right side
    3,566.34x = 12,324,419.96
  5. Step 5: Solve for x
    x = 12,324,419.96/3,566.34
  6. Step 6: Final answer
    x = 3,455.76

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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.