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Finding the Fourth Proportional to 4,782.17, 6,601.64 and 3,191.46

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Solution

The fourth proportional to 4,782.17, 6,601.64 and 3,191.46 is: 4,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.17 : 6,601.64 = 3,191.46 : x
  2. Step 2: Convert to fraction form
    4,782.17/6,601.64 = 3,191.46/x
  3. Step 3: Cross multiply
    4,782.17x = 6,601.64 × 3,191.46
  4. Step 4: Simplify right side
    4,782.17x = 21,068,854.04
  5. Step 5: Solve for x
    x = 21,068,854.04/4,782.17
  6. Step 6: Final answer
    x = 4,405.71

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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.