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Finding the Fourth Proportional to 4,256.52, 6,382.96 and 1,657.64

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Solution

The fourth proportional to 4,256.52, 6,382.96 and 1,657.64 is: 2,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.52 : 6,382.96 = 1,657.64 : x
  2. Step 2: Convert to fraction form
    4,256.52/6,382.96 = 1,657.64/x
  3. Step 3: Cross multiply
    4,256.52x = 6,382.96 × 1,657.64
  4. Step 4: Simplify right side
    4,256.52x = 10,580,649.81
  5. Step 5: Solve for x
    x = 10,580,649.81/4,256.52
  6. Step 6: Final answer
    x = 2,485.75

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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.