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Finding the Fourth Proportional to 3,113.64, 4,296.39 and 1,716.42

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Solution

The fourth proportional to 3,113.64, 4,296.39 and 1,716.42 is: 2,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.64 : 4,296.39 = 1,716.42 : x
  2. Step 2: Convert to fraction form
    3,113.64/4,296.39 = 1,716.42/x
  3. Step 3: Cross multiply
    3,113.64x = 4,296.39 × 1,716.42
  4. Step 4: Simplify right side
    3,113.64x = 7,374,409.72
  5. Step 5: Solve for x
    x = 7,374,409.72/3,113.64
  6. Step 6: Final answer
    x = 2,368.42

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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.