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Finding the Fourth Proportional to 3,568.32, 4,898.04 and 3,166.56

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Solution

The fourth proportional to 3,568.32, 4,898.04 and 3,166.56 is: 4,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.32 : 4,898.04 = 3,166.56 : x
  2. Step 2: Convert to fraction form
    3,568.32/4,898.04 = 3,166.56/x
  3. Step 3: Cross multiply
    3,568.32x = 4,898.04 × 3,166.56
  4. Step 4: Simplify right side
    3,568.32x = 15,509,937.54
  5. Step 5: Solve for x
    x = 15,509,937.54/3,568.32
  6. Step 6: Final answer
    x = 4,346.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.