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Finding the Fourth Proportional to 4,351.64, 6,523.81 and 1,756.40

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Solution

The fourth proportional to 4,351.64, 6,523.81 and 1,756.40 is: 2,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.64 : 6,523.81 = 1,756.40 : x
  2. Step 2: Convert to fraction form
    4,351.64/6,523.81 = 1,756.40/x
  3. Step 3: Cross multiply
    4,351.64x = 6,523.81 × 1,756.40
  4. Step 4: Simplify right side
    4,351.64x = 11,458,382.87
  5. Step 5: Solve for x
    x = 11,458,382.87/4,351.64
  6. Step 6: Final answer
    x = 2,633.12

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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.