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Finding the Fourth Proportional to 4,635.64, 6,919.73 and 4,293.01

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Solution

The fourth proportional to 4,635.64, 6,919.73 and 4,293.01 is: 6,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.64 : 6,919.73 = 4,293.01 : x
  2. Step 2: Convert to fraction form
    4,635.64/6,919.73 = 4,293.01/x
  3. Step 3: Cross multiply
    4,635.64x = 6,919.73 × 4,293.01
  4. Step 4: Simplify right side
    4,635.64x = 29,706,458.60
  5. Step 5: Solve for x
    x = 29,706,458.60/4,635.64
  6. Step 6: Final answer
    x = 6,408.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.