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Finding the Fourth Proportional to 3,523.08, 5,284.74 and 1,985.16

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Solution

The fourth proportional to 3,523.08, 5,284.74 and 1,985.16 is: 2,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.08 : 5,284.74 = 1,985.16 : x
  2. Step 2: Convert to fraction form
    3,523.08/5,284.74 = 1,985.16/x
  3. Step 3: Cross multiply
    3,523.08x = 5,284.74 × 1,985.16
  4. Step 4: Simplify right side
    3,523.08x = 10,491,054.46
  5. Step 5: Solve for x
    x = 10,491,054.46/3,523.08
  6. Step 6: Final answer
    x = 2,977.81

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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.