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Finding the Fourth Proportional to 3,396.51, 5,096.59 and 1,317.98

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Solution

The fourth proportional to 3,396.51, 5,096.59 and 1,317.98 is: 1,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.51 : 5,096.59 = 1,317.98 : x
  2. Step 2: Convert to fraction form
    3,396.51/5,096.59 = 1,317.98/x
  3. Step 3: Cross multiply
    3,396.51x = 5,096.59 × 1,317.98
  4. Step 4: Simplify right side
    3,396.51x = 6,717,213.13
  5. Step 5: Solve for x
    x = 6,717,213.13/3,396.51
  6. Step 6: Final answer
    x = 1,977.68

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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.