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Finding the Fourth Proportional to 3,677.15, 5,513.70 and 1,210.70

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Solution

The fourth proportional to 3,677.15, 5,513.70 and 1,210.70 is: 1,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.15 : 5,513.70 = 1,210.70 : x
  2. Step 2: Convert to fraction form
    3,677.15/5,513.70 = 1,210.70/x
  3. Step 3: Cross multiply
    3,677.15x = 5,513.70 × 1,210.70
  4. Step 4: Simplify right side
    3,677.15x = 6,675,436.59
  5. Step 5: Solve for x
    x = 6,675,436.59/3,677.15
  6. Step 6: Final answer
    x = 1,815.38

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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.