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Finding the Fourth Proportional to 3,172.79, 4,378.96 and 3,032.63

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Solution

The fourth proportional to 3,172.79, 4,378.96 and 3,032.63 is: 4,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.79 : 4,378.96 = 3,032.63 : x
  2. Step 2: Convert to fraction form
    3,172.79/4,378.96 = 3,032.63/x
  3. Step 3: Cross multiply
    3,172.79x = 4,378.96 × 3,032.63
  4. Step 4: Simplify right side
    3,172.79x = 13,279,743.57
  5. Step 5: Solve for x
    x = 13,279,743.57/3,172.79
  6. Step 6: Final answer
    x = 4,185.51

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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.