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Finding the Fourth Proportional to 6,458.96, 8,913.64 and 3,664.72

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Solution

The fourth proportional to 6,458.96, 8,913.64 and 3,664.72 is: 5,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.96 : 8,913.64 = 3,664.72 : x
  2. Step 2: Convert to fraction form
    6,458.96/8,913.64 = 3,664.72/x
  3. Step 3: Cross multiply
    6,458.96x = 8,913.64 × 3,664.72
  4. Step 4: Simplify right side
    6,458.96x = 32,665,994.78
  5. Step 5: Solve for x
    x = 32,665,994.78/6,458.96
  6. Step 6: Final answer
    x = 5,057.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.