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Finding the Fourth Proportional to 3,132.71, 4,323.14 and 1,716.40

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Solution

The fourth proportional to 3,132.71, 4,323.14 and 1,716.40 is: 2,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.71 : 4,323.14 = 1,716.40 : x
  2. Step 2: Convert to fraction form
    3,132.71/4,323.14 = 1,716.40/x
  3. Step 3: Cross multiply
    3,132.71x = 4,323.14 × 1,716.40
  4. Step 4: Simplify right side
    3,132.71x = 7,420,237.50
  5. Step 5: Solve for x
    x = 7,420,237.50/3,132.71
  6. Step 6: Final answer
    x = 2,368.63

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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.