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Finding the Fourth Proportional to 3,676.77, 5,513.07 and 1,210.92

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Solution

The fourth proportional to 3,676.77, 5,513.07 and 1,210.92 is: 1,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.77 : 5,513.07 = 1,210.92 : x
  2. Step 2: Convert to fraction form
    3,676.77/5,513.07 = 1,210.92/x
  3. Step 3: Cross multiply
    3,676.77x = 5,513.07 × 1,210.92
  4. Step 4: Simplify right side
    3,676.77x = 6,675,886.72
  5. Step 5: Solve for x
    x = 6,675,886.72/3,676.77
  6. Step 6: Final answer
    x = 1,815.69

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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.