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Finding the Fourth Proportional to 3,472.32, 5,206.66 and 2,604.81

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Solution

The fourth proportional to 3,472.32, 5,206.66 and 2,604.81 is: 3,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.32 : 5,206.66 = 2,604.81 : x
  2. Step 2: Convert to fraction form
    3,472.32/5,206.66 = 2,604.81/x
  3. Step 3: Cross multiply
    3,472.32x = 5,206.66 × 2,604.81
  4. Step 4: Simplify right side
    3,472.32x = 13,562,360.03
  5. Step 5: Solve for x
    x = 13,562,360.03/3,472.32
  6. Step 6: Final answer
    x = 3,905.85

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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.