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Finding the Fourth Proportional to 4,716.63, 6,494.04 and 3,835.35

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Solution

The fourth proportional to 4,716.63, 6,494.04 and 3,835.35 is: 5,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.63 : 6,494.04 = 3,835.35 : x
  2. Step 2: Convert to fraction form
    4,716.63/6,494.04 = 3,835.35/x
  3. Step 3: Cross multiply
    4,716.63x = 6,494.04 × 3,835.35
  4. Step 4: Simplify right side
    4,716.63x = 24,906,916.31
  5. Step 5: Solve for x
    x = 24,906,916.31/4,716.63
  6. Step 6: Final answer
    x = 5,280.66

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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.