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Finding the Fourth Proportional to 3,096.37, 4,636.63 and 1,708.17

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Solution

The fourth proportional to 3,096.37, 4,636.63 and 1,708.17 is: 2,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.37 : 4,636.63 = 1,708.17 : x
  2. Step 2: Convert to fraction form
    3,096.37/4,636.63 = 1,708.17/x
  3. Step 3: Cross multiply
    3,096.37x = 4,636.63 × 1,708.17
  4. Step 4: Simplify right side
    3,096.37x = 7,920,131.35
  5. Step 5: Solve for x
    x = 7,920,131.35/3,096.37
  6. Step 6: Final answer
    x = 2,557.87

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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.