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Finding the Fourth Proportional to 4,309.70, 6,464.57 and 1,712.64

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Solution

The fourth proportional to 4,309.70, 6,464.57 and 1,712.64 is: 2,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.70 : 6,464.57 = 1,712.64 : x
  2. Step 2: Convert to fraction form
    4,309.70/6,464.57 = 1,712.64/x
  3. Step 3: Cross multiply
    4,309.70x = 6,464.57 × 1,712.64
  4. Step 4: Simplify right side
    4,309.70x = 11,071,472.60
  5. Step 5: Solve for x
    x = 11,071,472.60/4,309.70
  6. Step 6: Final answer
    x = 2,568.97

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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.