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Finding the Fourth Proportional to 5,028.69, 7,509.17 and 4,106.05

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Solution

The fourth proportional to 5,028.69, 7,509.17 and 4,106.05 is: 6,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.69 : 7,509.17 = 4,106.05 : x
  2. Step 2: Convert to fraction form
    5,028.69/7,509.17 = 4,106.05/x
  3. Step 3: Cross multiply
    5,028.69x = 7,509.17 × 4,106.05
  4. Step 4: Simplify right side
    5,028.69x = 30,833,061.21
  5. Step 5: Solve for x
    x = 30,833,061.21/5,028.69
  6. Step 6: Final answer
    x = 6,131.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.