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Finding the Fourth Proportional to 5,022.69, 7,525.13 and 4,284.78

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Solution

The fourth proportional to 5,022.69, 7,525.13 and 4,284.78 is: 6,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.69 : 7,525.13 = 4,284.78 : x
  2. Step 2: Convert to fraction form
    5,022.69/7,525.13 = 4,284.78/x
  3. Step 3: Cross multiply
    5,022.69x = 7,525.13 × 4,284.78
  4. Step 4: Simplify right side
    5,022.69x = 32,243,505.10
  5. Step 5: Solve for x
    x = 32,243,505.10/5,022.69
  6. Step 6: Final answer
    x = 6,419.57

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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.