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Finding the Fourth Proportional to 4,146.56, 5,722.32 and 2,283.56

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Solution

The fourth proportional to 4,146.56, 5,722.32 and 2,283.56 is: 3,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.56 : 5,722.32 = 2,283.56 : x
  2. Step 2: Convert to fraction form
    4,146.56/5,722.32 = 2,283.56/x
  3. Step 3: Cross multiply
    4,146.56x = 5,722.32 × 2,283.56
  4. Step 4: Simplify right side
    4,146.56x = 13,067,261.06
  5. Step 5: Solve for x
    x = 13,067,261.06/4,146.56
  6. Step 6: Final answer
    x = 3,151.35

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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.