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Finding the Fourth Proportional to 5,645.92, 8,465.77 and 1,945.10

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Solution

The fourth proportional to 5,645.92, 8,465.77 and 1,945.10 is: 2,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.92 : 8,465.77 = 1,945.10 : x
  2. Step 2: Convert to fraction form
    5,645.92/8,465.77 = 1,945.10/x
  3. Step 3: Cross multiply
    5,645.92x = 8,465.77 × 1,945.10
  4. Step 4: Simplify right side
    5,645.92x = 16,466,769.23
  5. Step 5: Solve for x
    x = 16,466,769.23/5,645.92
  6. Step 6: Final answer
    x = 2,916.58

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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.