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Finding the Fourth Proportional to 3,506.40, 4,826.16 and 3,304.80

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Solution

The fourth proportional to 3,506.40, 4,826.16 and 3,304.80 is: 4,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.40 : 4,826.16 = 3,304.80 : x
  2. Step 2: Convert to fraction form
    3,506.40/4,826.16 = 3,304.80/x
  3. Step 3: Cross multiply
    3,506.40x = 4,826.16 × 3,304.80
  4. Step 4: Simplify right side
    3,506.40x = 15,949,493.57
  5. Step 5: Solve for x
    x = 15,949,493.57/3,506.40
  6. Step 6: Final answer
    x = 4,548.68

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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.