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Finding the Fourth Proportional to 4,537.68, 6,805.20 and 1,905.10

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Solution

The fourth proportional to 4,537.68, 6,805.20 and 1,905.10 is: 2,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.68 : 6,805.20 = 1,905.10 : x
  2. Step 2: Convert to fraction form
    4,537.68/6,805.20 = 1,905.10/x
  3. Step 3: Cross multiply
    4,537.68x = 6,805.20 × 1,905.10
  4. Step 4: Simplify right side
    4,537.68x = 12,964,586.52
  5. Step 5: Solve for x
    x = 12,964,586.52/4,537.68
  6. Step 6: Final answer
    x = 2,857.10

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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.