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Finding the Fourth Proportional to 5,419.76, 8,128.71 and 1,523.25

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Solution

The fourth proportional to 5,419.76, 8,128.71 and 1,523.25 is: 2,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.76 : 8,128.71 = 1,523.25 : x
  2. Step 2: Convert to fraction form
    5,419.76/8,128.71 = 1,523.25/x
  3. Step 3: Cross multiply
    5,419.76x = 8,128.71 × 1,523.25
  4. Step 4: Simplify right side
    5,419.76x = 12,382,057.51
  5. Step 5: Solve for x
    x = 12,382,057.51/5,419.76
  6. Step 6: Final answer
    x = 2,284.62

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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.