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Finding the Fourth Proportional to 5,435.64, 8,152.30 and 1,540.08

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Solution

The fourth proportional to 5,435.64, 8,152.30 and 1,540.08 is: 2,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.64 : 8,152.30 = 1,540.08 : x
  2. Step 2: Convert to fraction form
    5,435.64/8,152.30 = 1,540.08/x
  3. Step 3: Cross multiply
    5,435.64x = 8,152.30 × 1,540.08
  4. Step 4: Simplify right side
    5,435.64x = 12,555,194.18
  5. Step 5: Solve for x
    x = 12,555,194.18/5,435.64
  6. Step 6: Final answer
    x = 2,309.79

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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.