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Finding the Fourth Proportional to 5,129.93, 7,077.65 and 3,138.41

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Solution

The fourth proportional to 5,129.93, 7,077.65 and 3,138.41 is: 4,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.93 : 7,077.65 = 3,138.41 : x
  2. Step 2: Convert to fraction form
    5,129.93/7,077.65 = 3,138.41/x
  3. Step 3: Cross multiply
    5,129.93x = 7,077.65 × 3,138.41
  4. Step 4: Simplify right side
    5,129.93x = 22,212,569.54
  5. Step 5: Solve for x
    x = 22,212,569.54/5,129.93
  6. Step 6: Final answer
    x = 4,329.99

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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.