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Finding the Fourth Proportional to 3,428.58, 5,143.76 and 1,673.40

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Solution

The fourth proportional to 3,428.58, 5,143.76 and 1,673.40 is: 2,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.58 : 5,143.76 = 1,673.40 : x
  2. Step 2: Convert to fraction form
    3,428.58/5,143.76 = 1,673.40/x
  3. Step 3: Cross multiply
    3,428.58x = 5,143.76 × 1,673.40
  4. Step 4: Simplify right side
    3,428.58x = 8,607,567.98
  5. Step 5: Solve for x
    x = 8,607,567.98/3,428.58
  6. Step 6: Final answer
    x = 2,510.53

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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.