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Finding the Fourth Proportional to 3,629.70, 5,456.70 and 3,095.10

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Solution

The fourth proportional to 3,629.70, 5,456.70 and 3,095.10 is: 4,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.70 : 5,456.70 = 3,095.10 : x
  2. Step 2: Convert to fraction form
    3,629.70/5,456.70 = 3,095.10/x
  3. Step 3: Cross multiply
    3,629.70x = 5,456.70 × 3,095.10
  4. Step 4: Simplify right side
    3,629.70x = 16,889,032.17
  5. Step 5: Solve for x
    x = 16,889,032.17/3,629.70
  6. Step 6: Final answer
    x = 4,653.01

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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.