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Finding the Fourth Proportional to 5,137.70, 7,088.70 and 3,147.54

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Solution

The fourth proportional to 5,137.70, 7,088.70 and 3,147.54 is: 4,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.70 : 7,088.70 = 3,147.54 : x
  2. Step 2: Convert to fraction form
    5,137.70/7,088.70 = 3,147.54/x
  3. Step 3: Cross multiply
    5,137.70x = 7,088.70 × 3,147.54
  4. Step 4: Simplify right side
    5,137.70x = 22,311,966.80
  5. Step 5: Solve for x
    x = 22,311,966.80/5,137.70
  6. Step 6: Final answer
    x = 4,342.79

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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.