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Finding the Fourth Proportional to 3,138.09, 4,697.90 and 2,095.52

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Solution

The fourth proportional to 3,138.09, 4,697.90 and 2,095.52 is: 3,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.09 : 4,697.90 = 2,095.52 : x
  2. Step 2: Convert to fraction form
    3,138.09/4,697.90 = 2,095.52/x
  3. Step 3: Cross multiply
    3,138.09x = 4,697.90 × 2,095.52
  4. Step 4: Simplify right side
    3,138.09x = 9,844,509.44
  5. Step 5: Solve for x
    x = 9,844,509.44/3,138.09
  6. Step 6: Final answer
    x = 3,137.10

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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.