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Finding the Fourth Proportional to 3,546.16, 4,916.02 and 3,358.80

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Solution

The fourth proportional to 3,546.16, 4,916.02 and 3,358.80 is: 4,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.16 : 4,916.02 = 3,358.80 : x
  2. Step 2: Convert to fraction form
    3,546.16/4,916.02 = 3,358.80/x
  3. Step 3: Cross multiply
    3,546.16x = 4,916.02 × 3,358.80
  4. Step 4: Simplify right side
    3,546.16x = 16,511,927.98
  5. Step 5: Solve for x
    x = 16,511,927.98/3,546.16
  6. Step 6: Final answer
    x = 4,656.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.