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Finding the Fourth Proportional to 4,757.68, 7,137.83 and 1,985.65

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Solution

The fourth proportional to 4,757.68, 7,137.83 and 1,985.65 is: 2,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.68 : 7,137.83 = 1,985.65 : x
  2. Step 2: Convert to fraction form
    4,757.68/7,137.83 = 1,985.65/x
  3. Step 3: Cross multiply
    4,757.68x = 7,137.83 × 1,985.65
  4. Step 4: Simplify right side
    4,757.68x = 14,173,232.14
  5. Step 5: Solve for x
    x = 14,173,232.14/4,757.68
  6. Step 6: Final answer
    x = 2,979.02

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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.