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Finding the Fourth Proportional to 5,015.71, 7,523.55 and 1,505.71

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Solution

The fourth proportional to 5,015.71, 7,523.55 and 1,505.71 is: 2,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.71 : 7,523.55 = 1,505.71 : x
  2. Step 2: Convert to fraction form
    5,015.71/7,523.55 = 1,505.71/x
  3. Step 3: Cross multiply
    5,015.71x = 7,523.55 × 1,505.71
  4. Step 4: Simplify right side
    5,015.71x = 11,328,284.47
  5. Step 5: Solve for x
    x = 11,328,284.47/5,015.71
  6. Step 6: Final answer
    x = 2,258.56

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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.