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Finding the Fourth Proportional to 3,671.15, 5,506.69 and 897.83

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Solution

The fourth proportional to 3,671.15, 5,506.69 and 897.83 is: 1,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.15 : 5,506.69 = 897.83 : x
  2. Step 2: Convert to fraction form
    3,671.15/5,506.69 = 897.83/x
  3. Step 3: Cross multiply
    3,671.15x = 5,506.69 × 897.83
  4. Step 4: Simplify right side
    3,671.15x = 4,944,083.00
  5. Step 5: Solve for x
    x = 4,944,083.00/3,671.15
  6. Step 6: Final answer
    x = 1,346.74

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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.