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Finding the Fourth Proportional to 5,138.06, 7,708.13 and 1,851.17

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Solution

The fourth proportional to 5,138.06, 7,708.13 and 1,851.17 is: 2,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.06 : 7,708.13 = 1,851.17 : x
  2. Step 2: Convert to fraction form
    5,138.06/7,708.13 = 1,851.17/x
  3. Step 3: Cross multiply
    5,138.06x = 7,708.13 × 1,851.17
  4. Step 4: Simplify right side
    5,138.06x = 14,269,011.22
  5. Step 5: Solve for x
    x = 14,269,011.22/5,138.06
  6. Step 6: Final answer
    x = 2,777.12

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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.