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Finding the Fourth Proportional to 3,946.50, 5,916.54 and 1,607.60

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Solution

The fourth proportional to 3,946.50, 5,916.54 and 1,607.60 is: 2,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.50 : 5,916.54 = 1,607.60 : x
  2. Step 2: Convert to fraction form
    3,946.50/5,916.54 = 1,607.60/x
  3. Step 3: Cross multiply
    3,946.50x = 5,916.54 × 1,607.60
  4. Step 4: Simplify right side
    3,946.50x = 9,511,417.24
  5. Step 5: Solve for x
    x = 9,511,417.24/3,946.50
  6. Step 6: Final answer
    x = 2,410.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.