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Finding the Fourth Proportional to 5,425.94, 8,139.22 and 1,530.64

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Solution

The fourth proportional to 5,425.94, 8,139.22 and 1,530.64 is: 2,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.94 : 8,139.22 = 1,530.64 : x
  2. Step 2: Convert to fraction form
    5,425.94/8,139.22 = 1,530.64/x
  3. Step 3: Cross multiply
    5,425.94x = 8,139.22 × 1,530.64
  4. Step 4: Simplify right side
    5,425.94x = 12,458,215.70
  5. Step 5: Solve for x
    x = 12,458,215.70/5,425.94
  6. Step 6: Final answer
    x = 2,296.05

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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.