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Finding the Fourth Proportional to 3,368.56, 4,644.64 and 2,306.84

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Solution

The fourth proportional to 3,368.56, 4,644.64 and 2,306.84 is: 3,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.56 : 4,644.64 = 2,306.84 : x
  2. Step 2: Convert to fraction form
    3,368.56/4,644.64 = 2,306.84/x
  3. Step 3: Cross multiply
    3,368.56x = 4,644.64 × 2,306.84
  4. Step 4: Simplify right side
    3,368.56x = 10,714,441.34
  5. Step 5: Solve for x
    x = 10,714,441.34/3,368.56
  6. Step 6: Final answer
    x = 3,180.72

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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.