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Finding the Fourth Proportional to 3,152.09, 4,727.95 and 1,072.10

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Solution

The fourth proportional to 3,152.09, 4,727.95 and 1,072.10 is: 1,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.09 : 4,727.95 = 1,072.10 : x
  2. Step 2: Convert to fraction form
    3,152.09/4,727.95 = 1,072.10/x
  3. Step 3: Cross multiply
    3,152.09x = 4,727.95 × 1,072.10
  4. Step 4: Simplify right side
    3,152.09x = 5,068,835.20
  5. Step 5: Solve for x
    x = 5,068,835.20/3,152.09
  6. Step 6: Final answer
    x = 1,608.09

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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.