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Finding the Fourth Proportional to 5,160.09, 7,121.07 and 3,035.78

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Solution

The fourth proportional to 5,160.09, 7,121.07 and 3,035.78 is: 4,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.09 : 7,121.07 = 3,035.78 : x
  2. Step 2: Convert to fraction form
    5,160.09/7,121.07 = 3,035.78/x
  3. Step 3: Cross multiply
    5,160.09x = 7,121.07 × 3,035.78
  4. Step 4: Simplify right side
    5,160.09x = 21,617,966.28
  5. Step 5: Solve for x
    x = 21,617,966.28/5,160.09
  6. Step 6: Final answer
    x = 4,189.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.