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Finding the Fourth Proportional to 3,675.33, 5,513.82 and 1,210.05

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Solution

The fourth proportional to 3,675.33, 5,513.82 and 1,210.05 is: 1,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.33 : 5,513.82 = 1,210.05 : x
  2. Step 2: Convert to fraction form
    3,675.33/5,513.82 = 1,210.05/x
  3. Step 3: Cross multiply
    3,675.33x = 5,513.82 × 1,210.05
  4. Step 4: Simplify right side
    3,675.33x = 6,671,997.89
  5. Step 5: Solve for x
    x = 6,671,997.89/3,675.33
  6. Step 6: Final answer
    x = 1,815.35

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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.