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Finding the Fourth Proportional to 4,146.41, 5,722.04 and 2,283.41

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Solution

The fourth proportional to 4,146.41, 5,722.04 and 2,283.41 is: 3,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.41 : 5,722.04 = 2,283.41 : x
  2. Step 2: Convert to fraction form
    4,146.41/5,722.04 = 2,283.41/x
  3. Step 3: Cross multiply
    4,146.41x = 5,722.04 × 2,283.41
  4. Step 4: Simplify right side
    4,146.41x = 13,065,763.36
  5. Step 5: Solve for x
    x = 13,065,763.36/4,146.41
  6. Step 6: Final answer
    x = 3,151.10

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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.