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Finding the Fourth Proportional to 3,666.42, 5,493.24 and 3,054.06

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Solution

The fourth proportional to 3,666.42, 5,493.24 and 3,054.06 is: 4,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.42 : 5,493.24 = 3,054.06 : x
  2. Step 2: Convert to fraction form
    3,666.42/5,493.24 = 3,054.06/x
  3. Step 3: Cross multiply
    3,666.42x = 5,493.24 × 3,054.06
  4. Step 4: Simplify right side
    3,666.42x = 16,776,684.55
  5. Step 5: Solve for x
    x = 16,776,684.55/3,666.42
  6. Step 6: Final answer
    x = 4,575.77

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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.