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Finding the Fourth Proportional to 3,652.85, 5,465.39 and 2,222.78

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Solution

The fourth proportional to 3,652.85, 5,465.39 and 2,222.78 is: 3,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.85 : 5,465.39 = 2,222.78 : x
  2. Step 2: Convert to fraction form
    3,652.85/5,465.39 = 2,222.78/x
  3. Step 3: Cross multiply
    3,652.85x = 5,465.39 × 2,222.78
  4. Step 4: Simplify right side
    3,652.85x = 12,148,337.81
  5. Step 5: Solve for x
    x = 12,148,337.81/3,652.85
  6. Step 6: Final answer
    x = 3,325.72

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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.