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Finding the Fourth Proportional to 5,675.43, 8,513.93 and 1,977.11

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Solution

The fourth proportional to 5,675.43, 8,513.93 and 1,977.11 is: 2,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.43 : 8,513.93 = 1,977.11 : x
  2. Step 2: Convert to fraction form
    5,675.43/8,513.93 = 1,977.11/x
  3. Step 3: Cross multiply
    5,675.43x = 8,513.93 × 1,977.11
  4. Step 4: Simplify right side
    5,675.43x = 16,833,002.37
  5. Step 5: Solve for x
    x = 16,833,002.37/5,675.43
  6. Step 6: Final answer
    x = 2,965.95

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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.