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Finding the Fourth Proportional to 3,288.64, 4,538.12 and 1,891.40

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Solution

The fourth proportional to 3,288.64, 4,538.12 and 1,891.40 is: 2,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.64 : 4,538.12 = 1,891.40 : x
  2. Step 2: Convert to fraction form
    3,288.64/4,538.12 = 1,891.40/x
  3. Step 3: Cross multiply
    3,288.64x = 4,538.12 × 1,891.40
  4. Step 4: Simplify right side
    3,288.64x = 8,583,400.17
  5. Step 5: Solve for x
    x = 8,583,400.17/3,288.64
  6. Step 6: Final answer
    x = 2,610.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.