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Finding the Fourth Proportional to 3,777.60, 5,666.52 and 3,226.32

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Solution

The fourth proportional to 3,777.60, 5,666.52 and 3,226.32 is: 4,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.60 : 5,666.52 = 3,226.32 : x
  2. Step 2: Convert to fraction form
    3,777.60/5,666.52 = 3,226.32/x
  3. Step 3: Cross multiply
    3,777.60x = 5,666.52 × 3,226.32
  4. Step 4: Simplify right side
    3,777.60x = 18,282,006.81
  5. Step 5: Solve for x
    x = 18,282,006.81/3,777.60
  6. Step 6: Final answer
    x = 4,839.58

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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.